44625 has 32 divisors (see below), whose sum is σ = 89856. Its totient is φ = 19200.

The previous prime is 44623. The next prime is 44633. The reversal of 44625 is 52644.

44625 = 43² + 44² + ... + 59².

It is a happy number.

44625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44625 - 2¹ = 44623 is a prime.

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

Its product of digits (960) is a multiple of the sum of its prime divisors (32).

44625 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44621) 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, 2617 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2⁴⁴⁶²⁵ is an apocalyptic number.

It is an amenable number.

44625 is an abundant number, since it is smaller than the sum of its proper divisors (45231).

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 (44928).

44625 is a wasteful number, since it uses less digits than its factorization.

44625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 32 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 44625 is about 211.2463017428. The cubic root of 44625 is about 35.4698547238.

The spelling of 44625 in words is "forty-four thousand, six hundred twenty-five".