77000137 has 2 divisors, whose sum is σ = 77000138. Its totient is φ = 77000136.

The previous prime is 77000101. The next prime is 77000167. The reversal of 77000137 is 73100077.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76930441 + 69696 = 8771^2 + 264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77000137 is a prime.

It is not a weakly prime, because it can be changed into another prime (77000167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38500068 + 38500069.

It is an arithmetic number, because the mean of its divisors is an integer number (38500069).

Almost surely, 2^77000137 is an apocalyptic number.

It is an amenable number.

77000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

77000137 is an equidigital number, since it uses as much as digits as its factorization.

77000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1029, while the sum is 25.

The square root of 77000137 is about 8774.9721936881. The cubic root of 77000137 is about 425.4323388239.

The spelling of 77000137 in words is "seventy-seven million, one hundred thirty-seven", and thus it is an aban number.