83924 has 6 divisors (see below), whose sum is σ = 146874. Its totient is φ = 41960.

The previous prime is 83921. The next prime is 83933. The reversal of 83924 is 42938.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 12100 = 268^2 + 110^2 .

It is an Ulam number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 83893 and 83902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10487 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (24479).

2⁸³⁹²⁴ is an apocalyptic number.

It is an amenable number.

83924 is a deficient number, since it is larger than the sum of its proper divisors (62950).

83924 is a wasteful number, since it uses less digits than its factorization.

83924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985 (or 20983 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 83924 is about 289.6963927977. The cubic root of 83924 is about 43.7819793399.

The spelling of 83924 in words is "eighty-three thousand, nine hundred twenty-four".