45654 has 16 divisors (see below), whose sum is σ = 104448. Its totient is φ = 13032.

The previous prime is 45641. The next prime is 45659.

45654 is nontrivially palindromic in base 10.

45654 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

45654 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45659) 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, 502 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (6528).

2⁴⁵⁶⁵⁴ is an apocalyptic number.

45654 is an abundant number, since it is smaller than the sum of its proper divisors (58794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52224).

45654 is a wasteful number, since it uses less digits than its factorization.

45654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099.

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

The square root of 45654 is about 213.6679667147. The cubic root of 45654 is about 35.7404166857.

The spelling of 45654 in words is "forty-five thousand, six hundred fifty-four".