75965137 has 2 divisors, whose sum is σ = 75965138. Its totient is φ = 75965136.

The previous prime is 75965083. The next prime is 75965143. The reversal of 75965137 is 73156957.

75965137 = 78⁴ + 79⁴.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38950081 + 37015056 = 6241^2 + 6084^2 .

It is a cyclic number.

It is not a de Polignac number, because 75965137 - 2²³ = 67576529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75965093 and 75965102.

It is not a weakly prime, because it can be changed into another prime (75965237) 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, 37982568 + 37982569.

It is an arithmetic number, because the mean of its divisors is an integer number (37982569).

Almost surely, 2^75965137 is an apocalyptic number.

It is an amenable number.

75965137 is a deficient number, since it is larger than the sum of its proper divisors (1).

75965137 is an equidigital number, since it uses as much as digits as its factorization.

75965137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 198450, while the sum is 43.

The square root of 75965137 is about 8715.7981275383. The cubic root of 75965137 is about 423.5175794326.

The spelling of 75965137 in words is "seventy-five million, nine hundred sixty-five thousand, one hundred thirty-seven".