957672001 has 32 divisors (see below), whose sum is σ = 1155926016. Its totient is φ = 781920000.

The previous prime is 957671993. The next prime is 957672013. The reversal of 957672001 is 100276759.

It is a cyclic number.

It is not a de Polignac number, because 957672001 - 2³ = 957671993 is a prime.

It is a super-2 number, since 2×957672001² = 1834271322998688002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (957672031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880480 + ... + 881566.

It is an arithmetic number, because the mean of its divisors is an integer number (36122688).

Almost surely, 2^957672001 is an apocalyptic number.

It is an amenable number.

957672001 is a deficient number, since it is larger than the sum of its proper divisors (198254015).

957672001 is a wasteful number, since it uses less digits than its factorization.

957672001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 957672001 is about 30946.2760441382. The cubic root of 957672001 is about 985.6867760629.

The spelling of 957672001 in words is "nine hundred fifty-seven million, six hundred seventy-two thousand, one".