77263 has 2 divisors, whose sum is σ = 77264. Its totient is φ = 77262.

The previous prime is 77261. The next prime is 77267. The reversal of 77263 is 36277.

It is a weak prime.

It is an emirp because it is prime and its reverse (36277) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77263 - 2¹ = 77261 is a prime.

Together with 77261, it forms a pair of twin primes.

77263 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77261) 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, 38631 + 38632.

It is an arithmetic number, because the mean of its divisors is an integer number (38632).

2⁷⁷²⁶³ is an apocalyptic number.

77263 is a deficient number, since it is larger than the sum of its proper divisors (1).

77263 is an equidigital number, since it uses as much as digits as its factorization.

77263 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 25.

The square root of 77263 is about 277.9622276497. The cubic root of 77263 is about 42.5915902492.

The spelling of 77263 in words is "seventy-seven thousand, two hundred sixty-three".