83120 has 20 divisors (see below), whose sum is σ = 193440. Its totient is φ = 33216.

The previous prime is 83117. The next prime is 83137. The reversal of 83120 is 2138.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 83095 and 83104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2⁸³¹²⁰ is an apocalyptic number.

83120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83120 is an abundant number, since it is smaller than the sum of its proper divisors (110320).

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 (96720).

83120 is a wasteful number, since it uses less digits than its factorization.

83120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 83120 is about 288.3053936367. The cubic root of 83120 is about 43.6417186189.

Adding to 83120 its reverse (2138), we get a palindrome (85258).

The spelling of 83120 in words is "eighty-three thousand, one hundred twenty".