2137334257 has 2 divisors, whose sum is σ = 2137334258. Its totient is φ = 2137334256.

The previous prime is 2137334207. The next prime is 2137334261. The reversal of 2137334257 is 7524337312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1954435681 + 182898576 = 44209^2 + 13524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2137334257 is a prime.

It is a super-2 number, since 2×2137334257² = 9136395452291484098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2137334207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068667128 + 1068667129.

It is an arithmetic number, because the mean of its divisors is an integer number (1068667129).

Almost surely, 2^2137334257 is an apocalyptic number.

It is an amenable number.

2137334257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137334257 is an equidigital number, since it uses as much as digits as its factorization.

2137334257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 37.

The square root of 2137334257 is about 46231.3125165185. The cubic root of 2137334257 is about 1288.1234371832.

The spelling of 2137334257 in words is "two billion, one hundred thirty-seven million, three hundred thirty-four thousand, two hundred fifty-seven".