36315 has 16 divisors (see below), whose sum is σ = 64800. Its totient is φ = 19296.

The previous prime is 36313. The next prime is 36319. The reversal of 36315 is 51363.

36315 is nontrivially palindromic in base 14.

36315 is a nontrivial binomial coefficient, being equal to C(270, 2).

It is not a de Polignac number, because 36315 - 2¹ = 36313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36313) 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 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2³⁶³¹⁵ is an apocalyptic number.

36315 is the 269-th triangular number and also the 135-th hexagonal number.

36315 is a deficient number, since it is larger than the sum of its proper divisors (28485).

36315 is a wasteful number, since it uses less digits than its factorization.

36315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

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

The square root of 36315 is about 190.5649495579. The cubic root of 36315 is about 33.1152991648.

Adding to 36315 its product of digits (270), we get a triangular number (36585 = T₂₇₀).

Adding to 36315 its reverse (51363), we get a palindrome (87678).

It can be divided in two parts, 363 and 15, that multiplied together give a palindrome (5445).

The spelling of 36315 in words is "thirty-six thousand, three hundred fifteen".