37900813 has 2 divisors, whose sum is σ = 37900814. Its totient is φ = 37900812.

The previous prime is 37900799. The next prime is 37900843. The reversal of 37900813 is 31800973.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27227524 + 10673289 = 5218^2 + 3267^2 .

It is a cyclic number.

It is not a de Polignac number, because 37900813 - 2⁹ = 37900301 is a prime.

It is a super-3 number, since 3×37900813³ (a number of 24 digits) contains 333 as substring.

37900813 is a modest number, since divided by 813 gives 379 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37900843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18950406 + 18950407.

It is an arithmetic number, because the mean of its divisors is an integer number (18950407).

Almost surely, 2^37900813 is an apocalyptic number.

It is an amenable number.

37900813 is a deficient number, since it is larger than the sum of its proper divisors (1).

37900813 is an equidigital number, since it uses as much as digits as its factorization.

37900813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 37900813 is about 6156.3636182409. The cubic root of 37900813 is about 335.9047733023.

The spelling of 37900813 in words is "thirty-seven million, nine hundred thousand, eight hundred thirteen".