45588 has 24 divisors (see below), whose sum is σ = 110880. Its totient is φ = 14560.

The previous prime is 45587. The next prime is 45589. The reversal of 45588 is 88554.

It is an interprime number because it is at equal distance from previous prime (45587) and next prime (45589).

It is a plaindrome in base 10 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45587) 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, 283 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁴⁵⁵⁸⁸ 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 45588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440).

45588 is an abundant number, since it is smaller than the sum of its proper divisors (65292).

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

45588 is a wasteful number, since it uses less digits than its factorization.

45588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 45588 is about 213.5134656175. The cubic root of 45588 is about 35.7231855915.

The spelling of 45588 in words is "forty-five thousand, five hundred eighty-eight".