83024 has 10 divisors (see below), whose sum is σ = 160890. Its totient is φ = 41504.

The previous prime is 83023. The next prime is 83047. The reversal of 83024 is 42038.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 4624 = 280^2 + 68^2 .

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 82993 and 83011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2579 + ... + 2610.

It is an arithmetic number, because the mean of its divisors is an integer number (16089).

2⁸³⁰²⁴ is an apocalyptic number.

It is an amenable number.

83024 is a deficient number, since it is larger than the sum of its proper divisors (77866).

83024 is a wasteful number, since it uses less digits than its factorization.

83024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 83024 is about 288.1388554152. The cubic root of 83024 is about 43.6249107148.

The spelling of 83024 in words is "eighty-three thousand, twenty-four".