77717137 has 2 divisors, whose sum is σ = 77717138. Its totient is φ = 77717136.

The previous prime is 77717089. The next prime is 77717141. The reversal of 77717137 is 73171777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 31259281 = 6816^2 + 5591^2 .

It is a cyclic number.

It is not a de Polignac number, because 77717137 - 2⁷ = 77717009 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77717137.

It is not a weakly prime, because it can be changed into another prime (72717137) 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, 38858568 + 38858569.

It is an arithmetic number, because the mean of its divisors is an integer number (38858569).

Almost surely, 2^77717137 is an apocalyptic number.

It is an amenable number.

77717137 is a deficient number, since it is larger than the sum of its proper divisors (1).

77717137 is an equidigital number, since it uses as much as digits as its factorization.

77717137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50421, while the sum is 40.

The square root of 77717137 is about 8815.7323575526. The cubic root of 77717137 is about 426.7487566524.

The spelling of 77717137 in words is "seventy-seven million, seven hundred seventeen thousand, one hundred thirty-seven".