54045 has 12 divisors (see below), whose sum is σ = 93756. Its totient is φ = 28800.

The previous prime is 54037. The next prime is 54049.

It is a happy number.

54045 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 47961 = 78^2 + 219^2 .

It is not a de Polignac number, because 54045 - 2³ = 54037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54049) 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, 556 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (7813).

2⁵⁴⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

54045 is a deficient number, since it is larger than the sum of its proper divisors (39711).

54045 is a wasteful number, since it uses less digits than its factorization.

54045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1209 counting only the distinct ones).

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

The square root of 54045 is about 232.4758051927. The cubic root of 54045 is about 37.8081279238.

Adding to 54045 its product of nonzero digits (400), we get a palindrome (54445).

It can be divided in two parts, 540 and 45, that added together give a palindrome (585).

The spelling of 54045 in words is "fifty-four thousand, forty-five".