83825 has 12 divisors (see below), whose sum is σ = 119040. Its totient is φ = 57360.

The previous prime is 83813. The next prime is 83833. The reversal of 83825 is 52838.

It is not a de Polignac number, because 83825 - 2⁶ = 83761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83794 and 83803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (9920).

2⁸³⁸²⁵ is an apocalyptic number.

It is an amenable number.

83825 is a deficient number, since it is larger than the sum of its proper divisors (35215).

83825 is a wasteful number, since it uses less digits than its factorization.

83825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 83825 is about 289.5254738361. The cubic root of 83825 is about 43.7647569267.

The spelling of 83825 in words is "eighty-three thousand, eight hundred twenty-five".