957840601 has 3 divisors (see below), whose sum is σ = 957871551. Its totient is φ = 957809652.

The previous prime is 957840581. The next prime is 957840659. The reversal of 957840601 is 106048759.

The square root of 957840601 is 30949.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106048759 = 331 ⋅320389.

It can be written as a sum of positive squares in only one way, i.e., 918150601 + 39690000 = 30301^2 + 6300^2 .

It is not a de Polignac number, because 957840601 - 2⁷ = 957840473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (957840001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15475 + ... + 46423.

It is an arithmetic number, because the mean of its divisors is an integer number (319290517).

Almost surely, 2^957840601 is an apocalyptic number.

957840601 is the 30949-th square number.

957840601 is the 15475-th centered octagonal number.

It is an amenable number.

957840601 is a deficient number, since it is larger than the sum of its proper divisors (30950).

957840601 is an frugal number, since it uses more digits than its factorization.

957840601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61898 (or 30949 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The cubic root of 957840601 is about 985.7446166870.

It can be divided in two parts, 957840 and 601, that added together give a square (958441 = 979²).

The spelling of 957840601 in words is "nine hundred fifty-seven million, eight hundred forty thousand, six hundred one".