10937813 has 2 divisors, whose sum is σ = 10937814. Its totient is φ = 10937812.

The previous prime is 10937807. The next prime is 10937819. The reversal of 10937813 is 31873901.

It is a balanced prime because it is at equal distance from previous prime (10937807) and next prime (10937819).

It can be written as a sum of positive squares in only one way, i.e., 10876804 + 61009 = 3298^2 + 247^2 .

It is an emirp because it is prime and its reverse (31873901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10937813 - 2¹⁰ = 10936789 is a prime.

It is equal to p₇₂₂₆₈₇ and since 10937813 and 722687 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10937813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10937819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5468906 + 5468907.

It is an arithmetic number, because the mean of its divisors is an integer number (5468907).

Almost surely, 2^10937813 is an apocalyptic number.

It is an amenable number.

10937813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10937813 is an equidigital number, since it uses as much as digits as its factorization.

10937813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10937813 is about 3307.2364596442. The cubic root of 10937813 is about 221.9781178551.

The spelling of 10937813 in words is "ten million, nine hundred thirty-seven thousand, eight hundred thirteen".