83052 has 24 divisors (see below), whose sum is σ = 215600. Its totient is φ = 27648.

The previous prime is 83047. The next prime is 83059. The reversal of 83052 is 25038.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83052.

It is not an unprimeable number, because it can be changed into a prime (83059) 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 in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 492.

2⁸³⁰⁵² is an apocalyptic number.

It is an amenable number.

83052 is an abundant number, since it is smaller than the sum of its proper divisors (132548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107800).

83052 is a wasteful number, since it uses less digits than its factorization.

83052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 83052 is about 288.1874390045. The cubic root of 83052 is about 43.6298143580.

The spelling of 83052 in words is "eighty-three thousand, fifty-two".