83020 has 24 divisors (see below), whose sum is σ = 199584. Its totient is φ = 28416.

The previous prime is 83009. The next prime is 83023. The reversal of 83020 is 2038.

83020 = T₂₄ + T₂₅ + ... + T₇₉.

It is an Ulam number.

It is a plaindrome in base 16.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2⁸³⁰²⁰ is an apocalyptic number.

It is an amenable number.

83020 is an abundant number, since it is smaller than the sum of its proper divisors (116564).

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 (99792).

83020 is a wasteful number, since it uses less digits than its factorization.

83020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 83020 is about 288.1319142337. The cubic root of 83020 is about 43.6242101044.

Adding to 83020 its reverse (2038), we get a palindrome (85058).

The spelling of 83020 in words is "eighty-three thousand, twenty".