30824825 has 48 divisors (see below), whose sum is σ = 43590960. Its totient is φ = 21504000.

The previous prime is 30824753. The next prime is 30824839. The reversal of 30824825 is 52842803.

It can be written as a sum of positive squares in 24 ways, for example, as 29365561 + 1459264 = 5419^2 + 1208^2 .

It is not a de Polignac number, because 30824825 - 2⁸ = 30824569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30824791 and 30824800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505295 + ... + 505355.

It is an arithmetic number, because the mean of its divisors is an integer number (908145).

Almost surely, 2^30824825 is an apocalyptic number.

It is an amenable number.

30824825 is a deficient number, since it is larger than the sum of its proper divisors (12766135).

30824825 is a wasteful number, since it uses less digits than its factorization.

30824825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 30824825 is about 5552.0108969634. The cubic root of 30824825 is about 313.5452360433.

The spelling of 30824825 in words is "thirty million, eight hundred twenty-four thousand, eight hundred twenty-five".