967625825 has 24 divisors (see below), whose sum is σ = 1267835520. Its totient is φ = 730555200.

The previous prime is 967625821. The next prime is 967625831. The reversal of 967625825 is 528526769.

967625825 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 967625825 - 2² = 967625821 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (967625821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124967 + ... + 132483.

It is an arithmetic number, because the mean of its divisors is an integer number (52826480).

Almost surely, 2^967625825 is an apocalyptic number.

967625825 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

967625825 is a deficient number, since it is larger than the sum of its proper divisors (300209695).

967625825 is a wasteful number, since it uses less digits than its factorization.

967625825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7812 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The square root of 967625825 is about 31106.6845710050. The cubic root of 967625825 is about 989.0900133894.

The spelling of 967625825 in words is "nine hundred sixty-seven million, six hundred twenty-five thousand, eight hundred twenty-five".