45375 has 24 divisors (see below), whose sum is σ = 82992. Its totient is φ = 22000.

The previous prime is 45361. The next prime is 45377. The reversal of 45375 is 57354.

It is not a de Polignac number, because 45375 - 2⁵ = 45343 is a prime.

45375 is a lucky number.

It is a nialpdrome in base 11.

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 45375.

It is not an unprimeable number, because it can be changed into a prime (45377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4120 + ... + 4130.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

2⁴⁵³⁷⁵ is an apocalyptic number.

45375 is a deficient number, since it is larger than the sum of its proper divisors (37617).

45375 is a wasteful number, since it uses less digits than its factorization.

45375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 19 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 45375 is about 213.0140840414. The cubic root of 45375 is about 35.6674624486.

It can be divided in two parts, 453 and 75, that added together give a triangular number (528 = T₃₂).

The spelling of 45375 in words is "forty-five thousand, three hundred seventy-five".