857376961 has 27 divisors (see below), whose sum is σ = 1030607139. Its totient is φ = 711176928.

The previous prime is 857376931. The next prime is 857377009. The reversal of 857376961 is 169673758.

The square root of 857376961 is 29281.

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

It can be written as a sum of positive squares in only one way, i.e., 164634561 + 692742400 = 12831^2 + 26320^2 .

It is not a de Polignac number, because 857376961 - 2⁷ = 857376833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 857376899 and 857376908.

It is not an unprimeable number, because it can be changed into a prime (857376931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9633405 + ... + 9633493.

Almost surely, 2^857376961 is an apocalyptic number.

857376961 is the 29281-st square number.

857376961 is the 14641-st centered octagonal number.

It is an amenable number.

857376961 is a deficient number, since it is larger than the sum of its proper divisors (173230178).

857376961 is an frugal number, since it uses more digits than its factorization.

857376961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The cubic root of 857376961 is about 950.0007242838. Note that the first 3 decimals are identical.

The spelling of 857376961 in words is "eight hundred fifty-seven million, three hundred seventy-six thousand, nine hundred sixty-one".