36800813 has 16 divisors (see below), whose sum is σ = 44313600. Its totient is φ = 30517200.

The previous prime is 36800779. The next prime is 36800849. The reversal of 36800813 is 31800863.

It is not a de Polignac number, because 36800813 - 2⁶ = 36800749 is a prime.

It is a Duffinian number.

36800813 is a modest number, since divided by 813 gives 368 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36800893) 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 15 ways as a sum of consecutive naturals, for example, 8903 + ... + 12363.

It is an arithmetic number, because the mean of its divisors is an integer number (2769600).

Almost surely, 2^36800813 is an apocalyptic number.

It is an amenable number.

36800813 is a deficient number, since it is larger than the sum of its proper divisors (7512787).

36800813 is an equidigital number, since it uses as much as digits as its factorization.

36800813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 36800813 is about 6066.3673644118. The cubic root of 36800813 is about 332.6231492123.

The spelling of 36800813 in words is "thirty-six million, eight hundred thousand, eight hundred thirteen".