967590825 has 24 divisors (see below), whose sum is σ = 1600641600. Its totient is φ = 515760960.

The previous prime is 967590803. The next prime is 967590839. The reversal of 967590825 is 528095769.

It is a happy number.

967590825 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 967590825 - 2⁶ = 967590761 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258316 + ... + 262034.

It is an arithmetic number, because the mean of its divisors is an integer number (66693400).

Almost surely, 2^967590825 is an apocalyptic number.

It is an amenable number.

967590825 is a deficient number, since it is larger than the sum of its proper divisors (633050775).

967590825 is a wasteful number, since it uses less digits than its factorization.

967590825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7196 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 967590825 is about 31106.1219858728. The cubic root of 967590825 is about 989.0780877852.

The spelling of 967590825 in words is "nine hundred sixty-seven million, five hundred ninety thousand, eight hundred twenty-five".