10957 has 2 divisors, whose sum is σ = 10958. Its totient is φ = 10956.

The previous prime is 10949. The next prime is 10973. The reversal of 10957 is 75901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 1156 = 99^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 10957 - 2³ = 10949 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5478 + 5479.

It is an arithmetic number, because the mean of its divisors is an integer number (5479).

2¹⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

10957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10957 is an equidigital number, since it uses as much as digits as its factorization.

10957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 10957 is about 104.6756896323. The cubic root of 10957 is about 22.2107839283.

The spelling of 10957 in words is "ten thousand, nine hundred fifty-seven".