77917 has 4 divisors (see below), whose sum is σ = 89056. Its totient is φ = 66780.

The previous prime is 77899. The next prime is 77929. The reversal of 77917 is 71977.

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, and also an emirpimes, since its reverse is a distinct semiprime: 71977 = 167 ⋅431.

It is not a de Polignac number, because 77917 - 2¹¹ = 75869 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77977) 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, 5559 + ... + 5572.

It is an arithmetic number, because the mean of its divisors is an integer number (22264).

2⁷⁷⁹¹⁷ is an apocalyptic number.

It is an amenable number.

77917 is a deficient number, since it is larger than the sum of its proper divisors (11139).

77917 is a wasteful number, since it uses less digits than its factorization.

77917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11138.

The product of its digits is 3087, while the sum is 31.

The square root of 77917 is about 279.1361674882. The cubic root of 77917 is about 42.7114262814.

The spelling of 77917 in words is "seventy-seven thousand, nine hundred seventeen".