817320 has 96 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 185472.

The previous prime is 817319. The next prime is 817321. The reversal of 817320 is 23718.

It is an interprime number because it is at equal distance from previous prime (817319) and next prime (817321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (817321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5811 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁸¹⁷³²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

817320 is an abundant number, since it is smaller than the sum of its proper divisors (2055480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

817320 is a wasteful number, since it uses less digits than its factorization.

817320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 817320 is about 904.0575202939. The cubic root of 817320 is about 93.4969352804.

The spelling of 817320 in words is "eight hundred seventeen thousand, three hundred twenty".