45054 has 12 divisors (see below), whose sum is σ = 97656. Its totient is φ = 15012.

The previous prime is 45053. The next prime is 45061.

It is a happy number.

45054 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2503 = 45054 / (4 + 5 + 0 + 5 + 4).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1234 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (8138).

2⁴⁵⁰⁵⁴ is an apocalyptic number.

45054 is an abundant number, since it is smaller than the sum of its proper divisors (52602).

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

45054 is a wasteful number, since it uses less digits than its factorization.

45054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45054 is about 212.2592754157. The cubic root of 45054 is about 35.5831549309.

Adding to 45054 its product of nonzero digits (400), we get a palindrome (45454).

The spelling of 45054 in words is "forty-five thousand, fifty-four".