957961 has 8 divisors (see below), whose sum is σ = 1018880. Its totient is φ = 898128.

The previous prime is 957959. The next prime is 957977. The reversal of 957961 is 169759.

957961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 957961 - 2¹ = 957959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 957961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2215 + ... + 2611.

It is an arithmetic number, because the mean of its divisors is an integer number (127360).

2⁹⁵⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

957961 is a deficient number, since it is larger than the sum of its proper divisors (60919).

957961 is a wasteful number, since it uses less digits than its factorization.

957961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543.

The product of its digits is 17010, while the sum is 37.

The square root of 957961 is about 978.7548211886. The cubic root of 957961 is about 98.5785917120.

It can be divided in two parts, 9 and 57961, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 957961 in words is "nine hundred fifty-seven thousand, nine hundred sixty-one".