45645 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 22784.

The previous prime is 45641. The next prime is 45659. The reversal of 45645 is 54654.

45645 = 63² + 64² + ... + 72².

45645 is nontrivially palindromic in base 2.

45645 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 cyclic number.

It is not a de Polignac number, because 45645 - 2² = 45641 is a prime.

It is a super-3 number, since 3×45645³ = 285299420133375, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45641) 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, 166 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁴⁵⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

45645 is a deficient number, since it is larger than the sum of its proper divisors (32115).

45645 is a wasteful number, since it uses less digits than its factorization.

45645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its digits is 2400, while the sum is 24.

The square root of 45645 is about 213.6469049624. The cubic root of 45645 is about 35.7380679693.

Subtracting 45645 from its reverse (54654), we obtain a palindrome (9009).

The spelling of 45645 in words is "forty-five thousand, six hundred forty-five".