13800813 has 8 divisors (see below), whose sum is σ = 19816608. Its totient is φ = 8492784.

The previous prime is 13800799. The next prime is 13800841. The reversal of 13800813 is 31800831.

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

It is not a de Polignac number, because 13800813 - 2⁸ = 13800557 is a prime.

13800813 is a modest number, since divided by 813 gives 138 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800863) 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 7 ways as a sum of consecutive naturals, for example, 176895 + ... + 176972.

It is an arithmetic number, because the mean of its divisors is an integer number (2477076).

Almost surely, 2^13800813 is an apocalyptic number.

13800813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13800813 is a deficient number, since it is larger than the sum of its proper divisors (6015795).

13800813 is a wasteful number, since it uses less digits than its factorization.

13800813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353883.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13800813 is about 3714.9445487113. The cubic root of 13800813 is about 239.8657408799.

The spelling of 13800813 in words is "thirteen million, eight hundred thousand, eight hundred thirteen".