83130 has 32 divisors (see below), whose sum is σ = 212544. Its totient is φ = 20736.

The previous prime is 83117. The next prime is 83137. The reversal of 83130 is 3138.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (83137) by changing a digit.

83130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (6642).

2⁸³¹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106272).

83130 is an abundant number, since it is smaller than the sum of its proper divisors (129414).

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

83130 is a wasteful number, since it uses less digits than its factorization.

83130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 83130 is about 288.3227358361. The cubic root of 83130 is about 43.6434686979.

Adding to 83130 its reverse (3138), we get a palindrome (86268).

It can be divided in two parts, 831 and 30, that added together give a triangular number (861 = T₄₁).

The spelling of 83130 in words is "eighty-three thousand, one hundred thirty".