204797137 has 2 divisors, whose sum is σ = 204797138. Its totient is φ = 204797136.

The previous prime is 204797119. The next prime is 204797149. The reversal of 204797137 is 731797402.

204797137 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., 204604416 + 192721 = 14304^2 + 439^2 .

It is a cyclic number.

It is not a de Polignac number, because 204797137 - 2¹⁵ = 204764369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204797137.

It is not a weakly prime, because it can be changed into another prime (204797107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102398568 + 102398569.

It is an arithmetic number, because the mean of its divisors is an integer number (102398569).

Almost surely, 2^204797137 is an apocalyptic number.

It is an amenable number.

204797137 is a deficient number, since it is larger than the sum of its proper divisors (1).

204797137 is an equidigital number, since it uses as much as digits as its factorization.

204797137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 204797137 is about 14310.7350265456. The cubic root of 204797137 is about 589.4422930556.

The spelling of 204797137 in words is "two hundred four million, seven hundred ninety-seven thousand, one hundred thirty-seven".