36815 has 8 divisors (see below), whose sum is σ = 45600. Its totient is φ = 28512.

The previous prime is 36809. The next prime is 36821. The reversal of 36815 is 51863.

It is an interprime number because it is at equal distance from previous prime (36809) and next prime (36821).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36815 - 2⁸ = 36559 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 86 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

2³⁶⁸¹⁵ is an apocalyptic number.

36815 is a deficient number, since it is larger than the sum of its proper divisors (8785).

36815 is a wasteful number, since it uses less digits than its factorization.

36815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its digits is 720, while the sum is 23.

The square root of 36815 is about 191.8723534019. The cubic root of 36815 is about 33.2665886659.

It can be divided in two parts, 368 and 15, that added together give a palindrome (383).

The spelling of 36815 in words is "thirty-six thousand, eight hundred fifteen".