52830 has 24 divisors (see below), whose sum is σ = 137592. Its totient is φ = 14064.

The previous prime is 52817. The next prime is 52837. The reversal of 52830 is 3825.

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

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 52830.

It is not an unprimeable number, because it can be changed into a prime (52837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁵²⁸³⁰ is an apocalyptic number.

52830 is an abundant number, since it is smaller than the sum of its proper divisors (84762).

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 (68796).

52830 is a wasteful number, since it uses less digits than its factorization.

52830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

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

The square root of 52830 is about 229.8477757125. The cubic root of 52830 is about 37.5226529797.

The spelling of 52830 in words is "fifty-two thousand, eight hundred thirty".