45567 has 12 divisors (see below), whose sum is σ = 67704. Its totient is φ = 29520.

The previous prime is 45557. The next prime is 45569. The reversal of 45567 is 76554.

It is not a de Polignac number, because 45567 - 2⁶ = 45503 is a prime.

Its product of digits (4200) is a multiple of the sum of its prime factors (150).

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 45567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

2⁴⁵⁵⁶⁷ is an apocalyptic number.

45567 is a deficient number, since it is larger than the sum of its proper divisors (22137).

45567 is a wasteful number, since it uses less digits than its factorization.

45567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 45567 is about 213.4642827266. The cubic root of 45567 is about 35.7176994832.

The spelling of 45567 in words is "forty-five thousand, five hundred sixty-seven".