36813 has 8 divisors (see below), whose sum is σ = 56128. Its totient is φ = 21024.

The previous prime is 36809. The next prime is 36821. The reversal of 36813 is 31863.

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

It is not a de Polignac number, because 36813 - 2² = 36809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1753 = 36813 / (3 + 6 + 8 + 1 + 3).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 36813.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36813.

It is not an unprimeable number, because it can be changed into a prime (36833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (7016).

2³⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

36813 is a deficient number, since it is larger than the sum of its proper divisors (19315).

36813 is a wasteful number, since it uses less digits than its factorization.

36813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763.

The product of its digits is 432, while the sum is 21.

The square root of 36813 is about 191.8671415329. The cubic root of 36813 is about 33.2659862450.

Subtracting from 36813 its reverse (31863), we obtain a triangular number (4950 = T₉₉).

The spelling of 36813 in words is "thirty-six thousand, eight hundred thirteen".