54615 has 16 divisors (see below), whose sum is σ = 95616. Its totient is φ = 26400.

The previous prime is 54601. The next prime is 54617. The reversal of 54615 is 51645.

It is a happy number.

54615 is nontrivially palindromic in base 4.

54615 is a nontrivial binomial coefficient, being equal to C(331, 2).

It is not a de Polignac number, because 54615 - 2⁵ = 54583 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54591 and 54600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (5976).

2⁵⁴⁶¹⁵ is an apocalyptic number.

54615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54615 is the 330-th triangular number.

54615 is a deficient number, since it is larger than the sum of its proper divisors (41001).

54615 is a wasteful number, since it uses less digits than its factorization.

54615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350.

The product of its digits is 600, while the sum is 21.

The square root of 54615 is about 233.6985237437. The cubic root of 54615 is about 37.9405811916.

It can be divided in two parts, 546 and 15, that added together give a triangular number (561 = T₃₃).

The spelling of 54615 in words is "fifty-four thousand, six hundred fifteen".