77312537 has 2 divisors, whose sum is σ = 77312538. Its totient is φ = 77312536.

The previous prime is 77312513. The next prime is 77312561. The reversal of 77312537 is 73521377.

It is a balanced prime because it is at equal distance from previous prime (77312513) and next prime (77312561).

It can be written as a sum of positive squares in only one way, i.e., 73085401 + 4227136 = 8549^2 + 2056^2 .

It is a cyclic number.

It is not a de Polignac number, because 77312537 - 2⁸ = 77312281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77312497 and 77312506.

It is not a weakly prime, because it can be changed into another prime (77312507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38656268 + 38656269.

It is an arithmetic number, because the mean of its divisors is an integer number (38656269).

Almost surely, 2^77312537 is an apocalyptic number.

It is an amenable number.

77312537 is a deficient number, since it is larger than the sum of its proper divisors (1).

77312537 is an equidigital number, since it uses as much as digits as its factorization.

77312537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30870, while the sum is 35.

The square root of 77312537 is about 8792.7548015397. The cubic root of 77312537 is about 426.0069080558.

The spelling of 77312537 in words is "seventy-seven million, three hundred twelve thousand, five hundred thirty-seven".