814817025 has 81 divisors (see below), whose sum is σ = 1613490697. Its totient is φ = 392779200.

The previous prime is 814817011. The next prime is 814817057. The reversal of 814817025 is 520718418.

The square root of 814817025 is 28545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 89699841 + 725117184 = 9471^2 + 26928^2 .

It is not a de Polignac number, because 814817025 - 2²³ = 806428417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4709839 + ... + 4710011.

Almost surely, 2^814817025 is an apocalyptic number.

814817025 is the 28545-th square number.

814817025 is the 14273-rd centered octagonal number.

It is an amenable number.

814817025 is a deficient number, since it is larger than the sum of its proper divisors (798673672).

814817025 is a wasteful number, since it uses less digits than its factorization.

814817025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The cubic root of 814817025 is about 934.0139547212.

Multiplying 814817025 by its sum of digits (36), we get a square (29333412900 = 171270²).

The spelling of 814817025 in words is "eight hundred fourteen million, eight hundred seventeen thousand, twenty-five".