83917 has 4 divisors (see below), whose sum is σ = 86656. Its totient is φ = 81180.

The previous prime is 83911. The next prime is 83921. The reversal of 83917 is 71938.

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: 71938 = 2 ⋅35969.

It is a cyclic number.

It is not a de Polignac number, because 83917 - 2¹¹ = 81869 is a prime.

It is a Duffinian number.

83917 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83911) 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, 1323 + ... + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (21664).

2⁸³⁹¹⁷ is an apocalyptic number.

It is an amenable number.

83917 is a deficient number, since it is larger than the sum of its proper divisors (2739).

83917 is a wasteful number, since it uses less digits than its factorization.

83917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738.

The product of its digits is 1512, while the sum is 28.

The square root of 83917 is about 289.6843109317. The cubic root of 83917 is about 43.7807620386.

It can be divided in two parts, 83 and 917, that added together give a cube (1000 = 10³).

The spelling of 83917 in words is "eighty-three thousand, nine hundred seventeen".