45357 has 8 divisors (see below), whose sum is σ = 65184. Its totient is φ = 27888.

The previous prime is 45343. The next prime is 45361. The reversal of 45357 is 75354.

45357 is nontrivially palindromic in base 9.

45357 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45357 - 2⁴ = 45341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45307) 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, 543 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

2⁴⁵³⁵⁷ is an apocalyptic number.

It is an amenable number.

45357 is a deficient number, since it is larger than the sum of its proper divisors (19827).

45357 is a wasteful number, since it uses less digits than its factorization.

45357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179.

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

The square root of 45357 is about 212.9718291230. The cubic root of 45357 is about 35.6627454662.

The spelling of 45357 in words is "forty-five thousand, three hundred fifty-seven".