97817 has 4 divisors (see below), whose sum is σ = 101220. Its totient is φ = 94416.

The previous prime is 97813. The next prime is 97829. The reversal of 97817 is 71879.

97817 = 9² + 10² + ... + 66².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 17161 = 284^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 97817 - 2² = 97813 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97813) 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, 1658 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (25305).

2⁹⁷⁸¹⁷ is an apocalyptic number.

It is an amenable number.

97817 is a deficient number, since it is larger than the sum of its proper divisors (3403).

97817 is a wasteful number, since it uses less digits than its factorization.

97817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402.

The product of its digits is 3528, while the sum is 32.

The square root of 97817 is about 312.7570942441. The cubic root of 97817 is about 46.0756474256.

The spelling of 97817 in words is "ninety-seven thousand, eight hundred seventeen".