817171152 has 120 divisors (see below), whose sum is σ = 2546640576. Its totient is φ = 221156352.

The previous prime is 817171141. The next prime is 817171207. The reversal of 817171152 is 251171718.

It is a super-2 number, since 2×817171152² = 1335537383322014208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117928 + ... + 124664.

Almost surely, 2^817171152 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 817171152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273320288).

817171152 is an abundant number, since it is smaller than the sum of its proper divisors (1729469424).

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

817171152 is a wasteful number, since it uses less digits than its factorization.

817171152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6768 counting only the distinct ones).

The product of its digits is 3920, while the sum is 33.

The square root of 817171152 is about 28586.2056243916. The cubic root of 817171152 is about 934.9125913694.

The spelling of 817171152 in words is "eight hundred seventeen million, one hundred seventy-one thousand, one hundred fifty-two".