10400813 has 4 divisors (see below), whose sum is σ = 10526208. Its totient is φ = 10275420.

The previous prime is 10400801. The next prime is 10400827. The reversal of 10400813 is 31800401.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31800401 = 1531 ⋅20771.

It is a cyclic number.

It is not a de Polignac number, because 10400813 - 2⁶ = 10400749 is a prime.

It is a super-2 number, since 2×10400813² = 216353822121938, which contains 22 as substring.

It is a Duffinian number.

10400813 is a modest number, since divided by 813 gives 104 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10400791 and 10400800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400833) 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 3 ways as a sum of consecutive naturals, for example, 62573 + ... + 62738.

It is an arithmetic number, because the mean of its divisors is an integer number (2631552).

Almost surely, 2^10400813 is an apocalyptic number.

It is an amenable number.

10400813 is a deficient number, since it is larger than the sum of its proper divisors (125395).

10400813 is an equidigital number, since it uses as much as digits as its factorization.

10400813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125394.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10400813 is about 3225.0291471551. The cubic root of 10400813 is about 218.2842643000.

The spelling of 10400813 in words is "ten million, four hundred thousand, eight hundred thirteen".