54645 has 8 divisors (see below), whose sum is σ = 87456. Its totient is φ = 29136.

The previous prime is 54631. The next prime is 54647.

54645 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54645 - 2⁴ = 54629 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

54645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54647) 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, 1807 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (10932).

2⁵⁴⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

54645 is a deficient number, since it is larger than the sum of its proper divisors (32811).

54645 is a wasteful number, since it uses less digits than its factorization.

54645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651.

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

The square root of 54645 is about 233.7627001897. The cubic root of 54645 is about 37.9475268359.

The spelling of 54645 in words is "fifty-four thousand, six hundred forty-five".