815925 has 48 divisors (see below), whose sum is σ = 1571328. Its totient is φ = 369600.

The previous prime is 815923. The next prime is 815933. The reversal of 815925 is 529518.

It is not a de Polignac number, because 815925 - 2¹ = 815923 is a prime.

Its product of digits (3600) is a multiple of the sum of its prime factors (90).

815925 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 815892 and 815901.

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 815925.

It is not an unprimeable number, because it can be changed into a prime (815923) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18954 + ... + 18996.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁸¹⁵⁹²⁵ is an apocalyptic number.

It is an amenable number.

815925 is a deficient number, since it is larger than the sum of its proper divisors (755403).

815925 is a wasteful number, since it uses less digits than its factorization.

815925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 815925 is about 903.2856690992. The cubic root of 815925 is about 93.4437115329.

It can be divided in two parts, 81 and 5925, that added together give a palindrome (6006).

The spelling of 815925 in words is "eight hundred fifteen thousand, nine hundred twenty-five".