76205117 has 2 divisors, whose sum is σ = 76205118. Its totient is φ = 76205116.

The previous prime is 76205113. The next prime is 76205119. The reversal of 76205117 is 71150267.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72914521 + 3290596 = 8539^2 + 1814^2 .

It is an emirp because it is prime and its reverse (71150267) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76205117 - 2² = 76205113 is a prime.

Together with 76205119, it forms a pair of twin primes.

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 76205117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76205113) 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, 38102558 + 38102559.

It is an arithmetic number, because the mean of its divisors is an integer number (38102559).

Almost surely, 2^76205117 is an apocalyptic number.

It is an amenable number.

76205117 is a deficient number, since it is larger than the sum of its proper divisors (1).

76205117 is an equidigital number, since it uses as much as digits as its factorization.

76205117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 76205117 is about 8729.5542268778. The cubic root of 76205117 is about 423.9630860381.

The spelling of 76205117 in words is "seventy-six million, two hundred five thousand, one hundred seventeen".