825125 has 32 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 528000.

The previous prime is 825109. The next prime is 825131. The reversal of 825125 is 521528.

825125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825125 - 2⁴ = 825109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 825125.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825125.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20105 + ... + 20145.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁸²⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

825125 is a deficient number, since it is larger than the sum of its proper divisors (432859).

825125 is a wasteful number, since it uses less digits than its factorization.

825125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 825125 is about 908.3639138583. The cubic root of 825125 is about 93.7936093409.

The spelling of 825125 in words is "eight hundred twenty-five thousand, one hundred twenty-five".