213536807 has 18 divisors (see below), whose sum is σ = 245806344. Its totient is φ = 185013840.

The previous prime is 213536789. The next prime is 213536837. The reversal of 213536807 is 708635312.

It is not a de Polignac number, because 213536807 - 2¹⁰ = 213535783 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213536837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 770753 + ... + 771029.

It is an arithmetic number, because the mean of its divisors is an integer number (13655908).

Almost surely, 2^213536807 is an apocalyptic number.

213536807 is a deficient number, since it is larger than the sum of its proper divisors (32269537).

213536807 is an equidigital number, since it uses as much as digits as its factorization.

213536807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 213536807 is about 14612.8986515339. The cubic root of 213536807 is about 597.7105408134.

The spelling of 213536807 in words is "two hundred thirteen million, five hundred thirty-six thousand, eight hundred seven".