32130 has 64 divisors (see below), whose sum is σ = 103680. Its totient is φ = 6912.

The previous prime is 32119. The next prime is 32141. The reversal of 32130 is 3123.

It is a happy number.

32130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (32119) and next prime (32141).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

32130 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 31 ways as a sum of consecutive naturals, for example, 1882 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2³²¹³⁰ is an apocalyptic number.

32130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32130 is the 90-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

32130 is an abundant number, since it is smaller than the sum of its proper divisors (71550).

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

32130 is a wasteful number, since it uses less digits than its factorization.

32130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 32130 is about 179.2484309555. The cubic root of 32130 is about 31.7909550637.

Adding to 32130 its reverse (3123), we get a palindrome (35253).

It can be divided in two parts, 321 and 30, that added together give a triangular number (351 = T₂₆).

The spelling of 32130 in words is "thirty-two thousand, one hundred thirty".