928825 has 12 divisors (see below), whose sum is σ = 1175148. Its totient is φ = 728000.

The previous prime is 928819. The next prime is 928849. The reversal of 928825 is 528829.

928825 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 6 ways, for example, as 28224 + 900601 = 168^2 + 949^2 .

It is not a de Polignac number, because 928825 - 2³ = 928817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 1675.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

2⁹²⁸⁸²⁵ is an apocalyptic number.

It is an amenable number.

928825 is a deficient number, since it is larger than the sum of its proper divisors (246323).

928825 is a wasteful number, since it uses less digits than its factorization.

928825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 928825 is about 963.7556744321. The cubic root of 928825 is about 97.5688752877.

The spelling of 928825 in words is "nine hundred twenty-eight thousand, eight hundred twenty-five".