76957 has 4 divisors (see below), whose sum is σ = 78876. Its totient is φ = 75040.

The previous prime is 76949. The next prime is 76961. The reversal of 76957 is 75967.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 22201 + 54756 = 149^2 + 234^2 .

It is a cyclic number.

It is not a de Polignac number, because 76957 - 2³ = 76949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76907) 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, 898 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (19719).

2⁷⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

76957 is a deficient number, since it is larger than the sum of its proper divisors (1919).

76957 is a wasteful number, since it uses less digits than its factorization.

76957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918.

The product of its digits is 13230, while the sum is 34.

The square root of 76957 is about 277.4112470683. The cubic root of 76957 is about 42.5352878780.

Subtracting from 76957 its reverse (75967), we obtain a triangular number (990 = T₄₄).

The spelling of 76957 in words is "seventy-six thousand, nine hundred fifty-seven".