77113 has 4 divisors (see below), whose sum is σ = 78480. Its totient is φ = 75748.

The previous prime is 77101. The next prime is 77137. The reversal of 77113 is 31177.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 77113 - 2⁵ = 77081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 595 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (19620).

2⁷⁷¹¹³ is an apocalyptic number.

It is an amenable number.

77113 is a deficient number, since it is larger than the sum of its proper divisors (1367).

77113 is a wasteful number, since it uses less digits than its factorization.

77113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366.

The product of its digits is 147, while the sum is 19.

The square root of 77113 is about 277.6922757298. The cubic root of 77113 is about 42.5640096591.

It can be divided in two parts, 771 and 13, that added together give a square (784 = 28²).

The spelling of 77113 in words is "seventy-seven thousand, one hundred thirteen".