77291 has 2 divisors, whose sum is σ = 77292. Its totient is φ = 77290.

The previous prime is 77279. The next prime is 77317. The reversal of 77291 is 19277.

It is an a-pointer prime, because the next prime (77317) can be obtained adding 77291 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77291 is a prime.

It is a Chen prime.

It is equal to p₇₅₉₅ and since 77291 and 7595 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 77291.

It is not a weakly prime, because it can be changed into another prime (77201) 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, 38645 + 38646.

It is an arithmetic number, because the mean of its divisors is an integer number (38646).

2⁷⁷²⁹¹ is an apocalyptic number.

77291 is a deficient number, since it is larger than the sum of its proper divisors (1).

77291 is an equidigital number, since it uses as much as digits as its factorization.

77291 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 26.

The square root of 77291 is about 278.0125896430. The cubic root of 77291 is about 42.5967346715.

The spelling of 77291 in words is "seventy-seven thousand, two hundred ninety-one".