546315 has 48 divisors (see below), whose sum is σ = 1123584. Its totient is φ = 221760.

The previous prime is 546289. The next prime is 546317. The reversal of 546315 is 513645.

546315 = 191² + 192² + ... + 204².

It is not a de Polignac number, because 546315 - 2⁵ = 546283 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (546317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12684 + ... + 12726.

It is an arithmetic number, because the mean of its divisors is an integer number (23408).

2⁵⁴⁶³¹⁵ is an apocalyptic number.

546315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

546315 is an abundant number, since it is smaller than the sum of its proper divisors (577269).

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

546315 is a wasteful number, since it uses less digits than its factorization.

546315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 546315 is about 739.1312468026. The cubic root of 546315 is about 81.7487351224.

It can be divided in two parts, 546 and 315, that added together give a triangular number (861 = T₄₁).

The spelling of 546315 in words is "five hundred forty-six thousand, three hundred fifteen".