911957 has 2 divisors, whose sum is σ = 911958. Its totient is φ = 911956.

The previous prime is 911951. The next prime is 911959. The reversal of 911957 is 759119.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 872356 + 39601 = 934^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 911957 - 2⁶ = 911893 is a prime.

Together with 911959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 911957.

It is not a weakly prime, because it can be changed into another prime (911951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 455978 + 455979.

It is an arithmetic number, because the mean of its divisors is an integer number (455979).

2⁹¹¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

911957 is a deficient number, since it is larger than the sum of its proper divisors (1).

911957 is an equidigital number, since it uses as much as digits as its factorization.

911957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2835, while the sum is 32.

The square root of 911957 is about 954.9643972421. The cubic root of 911957 is about 96.9746275793.

Subtracting from 911957 its sum of digits (32), we obtain a triangular number (911925 = T₁₃₅₀).

It can be divided in two parts, 91 and 1957, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 911957 in words is "nine hundred eleven thousand, nine hundred fifty-seven".