92820 has 96 divisors (see below), whose sum is σ = 338688. Its totient is φ = 18432.

The previous prime is 92809. The next prime is 92821. The reversal of 92820 is 2829.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 13.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 85 × 13 × 84.

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 92820.

It is not an unprimeable number, because it can be changed into a prime (92821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5452 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁹²⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

92820 is an abundant number, since it is smaller than the sum of its proper divisors (245868).

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

92820 is a wasteful number, since it uses less digits than its factorization.

92820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 92820 is about 304.6637490743. The cubic root of 92820 is about 45.2773000509.

The spelling of 92820 in words is "ninety-two thousand, eight hundred twenty".