213405813 has 16 divisors (see below), whose sum is σ = 316419840. Its totient is φ = 142152192.

The previous prime is 213405763. The next prime is 213405839. The reversal of 213405813 is 318504312.

It is a happy number.

It is not a de Polignac number, because 213405813 - 2⁸ = 213405557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213405883) 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 15 ways as a sum of consecutive naturals, for example, 40245 + ... + 45237.

It is an arithmetic number, because the mean of its divisors is an integer number (19776240).

Almost surely, 2^213405813 is an apocalyptic number.

It is an amenable number.

213405813 is a deficient number, since it is larger than the sum of its proper divisors (103014027).

213405813 is a wasteful number, since it uses less digits than its factorization.

213405813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 213405813 is about 14608.4158278713. The cubic root of 213405813 is about 597.5882941127.

The spelling of 213405813 in words is "two hundred thirteen million, four hundred five thousand, eight hundred thirteen".