208916137 has 2 divisors, whose sum is σ = 208916138. Its totient is φ = 208916136.

The previous prime is 208916093. The next prime is 208916167. The reversal of 208916137 is 731619802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109495296 + 99420841 = 10464^2 + 9971^2 .

It is a cyclic number.

It is not a de Polignac number, because 208916137 - 2¹¹ = 208914089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208916096 and 208916105.

It is not a weakly prime, because it can be changed into another prime (208916167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104458068 + 104458069.

It is an arithmetic number, because the mean of its divisors is an integer number (104458069).

Almost surely, 2^208916137 is an apocalyptic number.

It is an amenable number.

208916137 is a deficient number, since it is larger than the sum of its proper divisors (1).

208916137 is an equidigital number, since it uses as much as digits as its factorization.

208916137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 208916137 is about 14453.9315412797. The cubic root of 208916137 is about 593.3678281997.

It can be divided in two parts, 20891 and 6137, that added together give a triangular number (27028 = T₂₃₂).

The spelling of 208916137 in words is "two hundred eight million, nine hundred sixteen thousand, one hundred thirty-seven".