54164 has 12 divisors (see below), whose sum is σ = 103488. Its totient is φ = 24600.

The previous prime is 54163. The next prime is 54167. The reversal of 54164 is 46145.

54164 = T₄₀ + T₄₁ + ... + T₇₂.

It is a happy number.

54164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (8624).

2⁵⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

54164 is a deficient number, since it is larger than the sum of its proper divisors (49324).

54164 is a wasteful number, since it uses less digits than its factorization.

54164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 54164 is about 232.7316050733. The cubic root of 54164 is about 37.8358570943.

The spelling of 54164 in words is "fifty-four thousand, one hundred sixty-four".