957167 has 4 divisors (see below), whose sum is σ = 959976. Its totient is φ = 954360.

The previous prime is 957161. The next prime is 957169. The reversal of 957167 is 761759.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 761759 = 71 ⋅10729.

It is a cyclic number.

It is not a de Polignac number, because 957167 - 2¹⁰ = 956143 is a prime.

It is a Duffinian number.

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 957167.

It is not an unprimeable number, because it can be changed into a prime (957161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809 + ... + 1602.

It is an arithmetic number, because the mean of its divisors is an integer number (239994).

2⁹⁵⁷¹⁶⁷ is an apocalyptic number.

957167 is a deficient number, since it is larger than the sum of its proper divisors (2809).

957167 is a wasteful number, since it uses less digits than its factorization.

957167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808.

The product of its digits is 13230, while the sum is 35.

The square root of 957167 is about 978.3491196909. The cubic root of 957167 is about 98.5513487669.

The spelling of 957167 in words is "nine hundred fifty-seven thousand, one hundred sixty-seven".