77752117 has 2 divisors, whose sum is σ = 77752118. Its totient is φ = 77752116.

The previous prime is 77752111. The next prime is 77752139. The reversal of 77752117 is 71125777.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50566321 + 27185796 = 7111^2 + 5214^2 .

It is a cyclic number.

It is not a de Polignac number, because 77752117 - 2¹⁵ = 77719349 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77752111) 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, 38876058 + 38876059.

It is an arithmetic number, because the mean of its divisors is an integer number (38876059).

Almost surely, 2^77752117 is an apocalyptic number.

It is an amenable number.

77752117 is a deficient number, since it is larger than the sum of its proper divisors (1).

77752117 is an equidigital number, since it uses as much as digits as its factorization.

77752117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24010, while the sum is 37.

The square root of 77752117 is about 8817.7160875138. The cubic root of 77752117 is about 426.8127727027.

The spelling of 77752117 in words is "seventy-seven million, seven hundred fifty-two thousand, one hundred seventeen".