920819025 has 135 divisors (see below), whose sum is σ = 2038469511. Its totient is φ = 396184320.

The previous prime is 920819017. The next prime is 920819051. The reversal of 920819025 is 520918029.

The square root of 920819025 is 30345.

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

920819025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 100340289 + 820478736 = 10017^2 + 28644^2 .

It is not a de Polignac number, because 920819025 - 2³ = 920819017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 54165817 + ... + 54165833.

Almost surely, 2^920819025 is an apocalyptic number.

920819025 is the 30345-th square number.

920819025 is the 15173-rd centered octagonal number.

It is an amenable number.

920819025 is an abundant number, since it is smaller than the sum of its proper divisors (1117650486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920819025 is an equidigital number, since it uses as much as digits as its factorization.

920819025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 920819025 is about 972.8773545878.

Multiplying 920819025 by its sum of digits (36), we get a square (33149484900 = 182070²).

The spelling of 920819025 in words is "nine hundred twenty million, eight hundred nineteen thousand, twenty-five".