83725 has 12 divisors (see below), whose sum is σ = 110484. Its totient is φ = 62720.

The previous prime is 83719. The next prime is 83737. The reversal of 83725 is 52738.

It can be written as a sum of positive squares in 6 ways, for example, as 8649 + 75076 = 93^2 + 274^2 .

It is not a de Polignac number, because 83725 - 2³ = 83717 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 83725.

It is a congruent number.

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, 327 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2⁸³⁷²⁵ is an apocalyptic number.

83725 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83725 is a deficient number, since it is larger than the sum of its proper divisors (26759).

83725 is a wasteful number, since it uses less digits than its factorization.

83725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 83725 is about 289.3527259246. The cubic root of 83725 is about 43.7473467779.

It can be divided in two parts, 83 and 725, that added together give a palindrome (808).

The spelling of 83725 in words is "eighty-three thousand, seven hundred twenty-five".