80817 has 16 divisors (see below), whose sum is σ = 122880. Its totient is φ = 46800.

The previous prime is 80809. The next prime is 80819. The reversal of 80817 is 71808.

80817 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 80817 - 2³ = 80809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2⁸⁰⁸¹⁷ is an apocalyptic number.

It is an amenable number.

80817 is a deficient number, since it is larger than the sum of its proper divisors (42063).

80817 is a wasteful number, since it uses less digits than its factorization.

80817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 80817 is about 284.2833093940. The cubic root of 80817 is about 43.2348783827.

Subtracting from 80817 its reverse (71808), we obtain a palindrome (9009).

The spelling of 80817 in words is "eighty thousand, eight hundred seventeen".