45507 has 16 divisors (see below), whose sum is σ = 76032. Its totient is φ = 23520.

The previous prime is 45503. The next prime is 45523. The reversal of 45507 is 70554.

45507 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 45507 - 2² = 45503 is a prime.

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

45507 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45507.

It is not an unprimeable number, because it can be changed into a prime (45503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (4752).

2⁴⁵⁵⁰⁷ is an apocalyptic number.

45507 is a deficient number, since it is larger than the sum of its proper divisors (30525).

45507 is a wasteful number, since it uses less digits than its factorization.

45507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 45507 is about 213.3236976991. The cubic root of 45507 is about 35.7020155944.

The spelling of 45507 in words is "forty-five thousand, five hundred seven".