82133125 has 10 divisors (see below), whose sum is σ = 102634334. Its totient is φ = 65706000.

The previous prime is 82133119. The next prime is 82133141. The reversal of 82133125 is 52133128.

It can be written as a sum of positive squares in 5 ways, for example, as 15007876 + 67125249 = 3874^2 + 8193^2 .

It is not a de Polignac number, because 82133125 - 2¹⁵ = 82100357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82133125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65082 + ... + 66331.

Almost surely, 2^82133125 is an apocalyptic number.

It is an amenable number.

82133125 is a deficient number, since it is larger than the sum of its proper divisors (20501209).

82133125 is an equidigital number, since it uses as much as digits as its factorization.

82133125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131433 (or 131418 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 82133125 is about 9062.7327556317. The cubic root of 82133125 is about 434.6831267865.

The spelling of 82133125 in words is "eighty-two million, one hundred thirty-three thousand, one hundred twenty-five".