1061 has 2 divisors, whose sum is σ = 1062. Its totient is φ = 1060.

The previous prime is 1051. The next prime is 1063. The reversal of 1061 is 1601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961 + 100 = 31^2 + 10^2 .

It is an emirp because it is prime and its reverse (1601) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1901 and 1091.

It is a cyclic number.

It is not a de Polignac number, because 1061 - 2^{6} = 997 is a prime.

It is a super-2 number, since 2×1061^{2} = 2251442, which contains 22 as substring.

Together with 1063, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 530 + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (531).

It is an amenable number.

1061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1061 is an equidigital number, since it uses as much as digits as its factorization.

1061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1061 is about 32.5729949498. The cubic root of 1061 is about 10.1993335461.

Adding to 1061 its reverse (1601), we get a palindrome (2662).

The spelling of 1061 in words is "one thousand, sixty-one".

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