10838813 has 2 divisors, whose sum is σ = 10838814. Its totient is φ = 10838812.

The previous prime is 10838783. The next prime is 10838827. The reversal of 10838813 is 31883801.

10838813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10067929 + 770884 = 3173^2 + 878^2 .

It is a cyclic number.

It is not a de Polignac number, because 10838813 - 2⁶ = 10838749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10838813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10838833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419406 + 5419407.

It is an arithmetic number, because the mean of its divisors is an integer number (5419407).

Almost surely, 2^10838813 is an apocalyptic number.

It is an amenable number.

10838813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838813 is an equidigital number, since it uses as much as digits as its factorization.

10838813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10838813 is about 3292.2352589085. The cubic root of 10838813 is about 221.3063665211.

The spelling of 10838813 in words is "ten million, eight hundred thirty-eight thousand, eight hundred thirteen".