91957 has 2 divisors, whose sum is σ = 91958. Its totient is φ = 91956.

The previous prime is 91951. The next prime is 91961. The reversal of 91957 is 75919.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78961 + 12996 = 281^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 91957 - 2¹¹ = 89909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45978 + 45979.

It is an arithmetic number, because the mean of its divisors is an integer number (45979).

2⁹¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

91957 is a deficient number, since it is larger than the sum of its proper divisors (1).

91957 is an equidigital number, since it uses as much as digits as its factorization.

91957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2835, while the sum is 31.

The square root of 91957 is about 303.2441260767. The cubic root of 91957 is about 45.1365400207.

The spelling of 91957 in words is "ninety-one thousand, nine hundred fifty-seven".