957964401 has 45 divisors (see below), whose sum is σ = 1518705243. Its totient is φ = 601687440.

The previous prime is 957964391. The next prime is 957964411. The reversal of 957964401 is 104469759.

The square root of 957964401 is 30951.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (957964391) and next prime (957964411).

It can be written as a sum of positive squares in only one way, i.e., 10556001 + 947408400 = 3249^2 + 30780^2 .

It is not a de Polignac number, because 957964401 - 2¹⁵ = 957931633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (957964411) 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 44 ways as a sum of consecutive naturals, for example, 5292531 + ... + 5292711.

Almost surely, 2^957964401 is an apocalyptic number.

957964401 is the 30951-st square number.

957964401 is the 15476-th centered octagonal number.

It is an amenable number.

957964401 is a deficient number, since it is larger than the sum of its proper divisors (560740842).

957964401 is an equidigital number, since it uses as much as digits as its factorization.

957964401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 957964401 is about 985.7870837134.

The spelling of 957964401 in words is "nine hundred fifty-seven million, nine hundred sixty-four thousand, four hundred one".