83625 has 16 divisors (see below), whose sum is σ = 139776. Its totient is φ = 44400.

The previous prime is 83621. The next prime is 83639. The reversal of 83625 is 52638.

It is not a de Polignac number, because 83625 - 2² = 83621 is a prime.

83625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 83595 and 83604.

It is not an unprimeable number, because it can be changed into a prime (83621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2⁸³⁶²⁵ is an apocalyptic number.

It is an amenable number.

83625 is a deficient number, since it is larger than the sum of its proper divisors (56151).

83625 is a wasteful number, since it uses less digits than its factorization.

83625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 83625 is about 289.1798748184. The cubic root of 83625 is about 43.7299227606.

It can be divided in two parts, 836 and 25, that added together give a triangular number (861 = T₄₁).

The spelling of 83625 in words is "eighty-three thousand, six hundred twenty-five".