63315 has 32 divisors (see below), whose sum is σ = 130560. Its totient is φ = 28512.

The previous prime is 63313. The next prime is 63317. The reversal of 63315 is 51336.

It is an interprime number because it is at equal distance from previous prime (63313) and next prime (63317).

It is not a de Polignac number, because 63315 - 2¹ = 63313 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (63311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (4080).

2⁶³³¹⁵ is an apocalyptic number.

63315 is an abundant number, since it is smaller than the sum of its proper divisors (67245).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65280).

63315 is a wasteful number, since it uses less digits than its factorization.

63315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 63315 is about 251.6247205662. The cubic root of 63315 is about 39.8567794757.

It can be divided in two parts, 6331 and 5, that added together give a palindrome (6336).

The spelling of 63315 in words is "sixty-three thousand, three hundred fifteen".