83125 has 20 divisors (see below), whose sum is σ = 124960. Its totient is φ = 54000.

The previous prime is 83117. The next prime is 83137. The reversal of 83125 is 52138.

It is a happy number.

It is not a de Polignac number, because 83125 - 2³ = 83117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4366 + ... + 4384.

It is an arithmetic number, because the mean of its divisors is an integer number (6248).

2⁸³¹²⁵ is an apocalyptic number.

It is an amenable number.

83125 is a deficient number, since it is larger than the sum of its proper divisors (41835).

83125 is an equidigital number, since it uses as much as digits as its factorization.

83125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 83125 is about 288.3140648668. The cubic root of 83125 is about 43.6425936759.

The spelling of 83125 in words is "eighty-three thousand, one hundred twenty-five".