956970 has 96 divisors (see below), whose sum is σ = 2995200. Its totient is φ = 211680.

The previous prime is 956953. The next prime is 956987. The reversal of 956970 is 79659.

956970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (956953) and next prime (956987).

It is a Curzon 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 956970.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30855 + ... + 30885.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2⁹⁵⁶⁹⁷⁰ is an apocalyptic number.

956970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 956970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497600).

956970 is an abundant number, since it is smaller than the sum of its proper divisors (2038230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

956970 is a wasteful number, since it uses less digits than its factorization.

956970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 956970 is about 978.2484347036. The cubic root of 956970 is about 98.5445871646.

The spelling of 956970 in words is "nine hundred fifty-six thousand, nine hundred seventy".