45820 has 24 divisors (see below), whose sum is σ = 100800. Its totient is φ = 17472.

The previous prime is 45817. The next prime is 45821. The reversal of 45820 is 2854.

It is a happy number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁴⁵⁸²⁰ 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 45820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

45820 is an abundant number, since it is smaller than the sum of its proper divisors (54980).

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

45820 is a wasteful number, since it uses less digits than its factorization.

45820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 45820 is about 214.0560674216. The cubic root of 45820 is about 35.7836822111.

The spelling of 45820 in words is "forty-five thousand, eight hundred twenty".