77114117 has 2 divisors, whose sum is σ = 77114118. Its totient is φ = 77114116.

The previous prime is 77114083. The next prime is 77114129. The reversal of 77114117 is 71141177.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66031876 + 11082241 = 8126^2 + 3329^2 .

It is a cyclic number.

It is not a de Polignac number, because 77114117 - 2¹⁰ = 77113093 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 77114117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77114137) 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, 38557058 + 38557059.

It is an arithmetic number, because the mean of its divisors is an integer number (38557059).

Almost surely, 2^77114117 is an apocalyptic number.

It is an amenable number.

77114117 is a deficient number, since it is larger than the sum of its proper divisors (1).

77114117 is an equidigital number, since it uses as much as digits as its factorization.

77114117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1372, while the sum is 29.

The square root of 77114117 is about 8781.4643995179. The cubic root of 77114117 is about 425.6421517465.

The spelling of 77114117 in words is "seventy-seven million, one hundred fourteen thousand, one hundred seventeen".