54964 has 24 divisors (see below), whose sum is σ = 119168. Its totient is φ = 21600.

The previous prime is 54959. The next prime is 54973. The reversal of 54964 is 46945.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

54964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 439.

2⁵⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59584).

54964 is an abundant number, since it is smaller than the sum of its proper divisors (64204).

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

54964 is a wasteful number, since it uses less digits than its factorization.

54964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 54964 is about 234.4440231697. Note that the first 3 decimals coincide. The cubic root of 54964 is about 38.0212254458.

The spelling of 54964 in words is "fifty-four thousand, nine hundred sixty-four".