956293641 has 32 divisors (see below), whose sum is σ = 1454942720. Its totient is φ = 620443152.

The previous prime is 956293633. The next prime is 956293691. The reversal of 956293641 is 146392659.

It is not a de Polignac number, because 956293641 - 2³ = 956293633 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (956293621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355086 + ... + 357768.

It is an arithmetic number, because the mean of its divisors is an integer number (45466960).

Almost surely, 2^956293641 is an apocalyptic number.

It is an amenable number.

956293641 is a deficient number, since it is larger than the sum of its proper divisors (498649079).

956293641 is a wasteful number, since it uses less digits than its factorization.

956293641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 956293641 is about 30923.9978172293. The cubic root of 956293641 is about 985.2136552857.

The spelling of 956293641 in words is "nine hundred fifty-six million, two hundred ninety-three thousand, six hundred forty-one".