765137 has 2 divisors, whose sum is σ = 765138. Its totient is φ = 765136.

The previous prime is 765131. The next prime is 765139. The reversal of 765137 is 731567.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 638401 + 126736 = 799^2 + 356^2 .

It is an emirp because it is prime and its reverse (731567) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-765137 is a prime.

Together with 765139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (765131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 382568 + 382569.

It is an arithmetic number, because the mean of its divisors is an integer number (382569).

2⁷⁶⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

765137 is a deficient number, since it is larger than the sum of its proper divisors (1).

765137 is an equidigital number, since it uses as much as digits as its factorization.

765137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 29.

The square root of 765137 is about 874.7210984079. The cubic root of 765137 is about 91.4632019808.

The spelling of 765137 in words is "seven hundred sixty-five thousand, one hundred thirty-seven".