817152 has 96 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 221184.

The previous prime is 817151. The next prime is 817153. The reversal of 817152 is 251718.

It is an interprime number because it is at equal distance from previous prime (817151) and next prime (817153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×817152² = 1335474782208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42999 + ... + 43017.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁸¹⁷¹⁵² 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 817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

817152 is an abundant number, since it is smaller than the sum of its proper divisors (1803648).

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

817152 is a wasteful number, since it uses less digits than its factorization.

817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 817152 is about 903.9646010768. The cubic root of 817152 is about 93.4905287479.

It can be divided in two parts, 817 and 152, that added together give a palindrome (969).

The spelling of 817152 in words is "eight hundred seventeen thousand, one hundred fifty-two".