54315 has 24 divisors (see below), whose sum is σ = 101088. Its totient is φ = 26880.

The previous prime is 54311. The next prime is 54319. The reversal of 54315 is 51345.

54315 is nontrivially palindromic in base 2.

54315 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54311) and next prime (54319).

It is not a de Polignac number, because 54315 - 2² = 54311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2⁵⁴³¹⁵ is an apocalyptic number.

54315 is a deficient number, since it is larger than the sum of its proper divisors (46773).

54315 is a wasteful number, since it uses less digits than its factorization.

54315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 54315 is about 233.0557873128. The cubic root of 54315 is about 37.8709844450.

Adding to 54315 its product of digits (300), we get a triangular number (54615 = T₃₃₀).

The spelling of 54315 in words is "fifty-four thousand, three hundred fifteen".