83624 has 8 divisors (see below), whose sum is σ = 156810. Its totient is φ = 41808.

The previous prime is 83621. The next prime is 83639. The reversal of 83624 is 42638.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 36100 = 218^2 + 190^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 83624.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5219 + ... + 5234.

2⁸³⁶²⁴ is an apocalyptic number.

It is an amenable number.

83624 is a deficient number, since it is larger than the sum of its proper divisors (73186).

83624 is a wasteful number, since it uses less digits than its factorization.

83624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459 (or 10455 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 83624 is about 289.1781457856. The cubic root of 83624 is about 43.7297484503.

It can be divided in two parts, 83 and 624, that added together give a palindrome (707).

The spelling of 83624 in words is "eighty-three thousand, six hundred twenty-four".