82163125 has 80 divisors (see below), whose sum is σ = 128208960. Its totient is φ = 51840000.

The previous prime is 82163083. The next prime is 82163129. The reversal of 82163125 is 52136128.

It is not a de Polignac number, because 82163125 - 2²³ = 73774517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82163093 and 82163102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2220607 + ... + 2220643.

It is an arithmetic number, because the mean of its divisors is an integer number (1602612).

Almost surely, 2^82163125 is an apocalyptic number.

82163125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82163125 is a deficient number, since it is larger than the sum of its proper divisors (46045835).

82163125 is a wasteful number, since it uses less digits than its factorization.

82163125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 82163125 is about 9064.3877344253. The cubic root of 82163125 is about 434.7360445604.

The spelling of 82163125 in words is "eighty-two million, one hundred sixty-three thousand, one hundred twenty-five".