37134006817 has 2 divisors, whose sum is σ = 37134006818. Its totient is φ = 37134006816.

The previous prime is 37134006799. The next prime is 37134006821. The reversal of 37134006817 is 71860043173.

37134006817 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., 26006077696 + 11127929121 = 161264^2 + 105489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37134006817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37134006817.

It is not a weakly prime, because it can be changed into another prime (37134006617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18567003408 + 18567003409.

It is an arithmetic number, because the mean of its divisors is an integer number (18567003409).

Almost surely, 2^37134006817 is an apocalyptic number.

It is an amenable number.

37134006817 is a deficient number, since it is larger than the sum of its proper divisors (1).

37134006817 is an equidigital number, since it uses as much as digits as its factorization.

37134006817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 37134006817 in words is "thirty-seven billion, one hundred thirty-four million, six thousand, eight hundred seventeen".