817472 has 28 divisors (see below), whose sum is σ = 1659636. Its totient is φ = 399360.

The previous prime is 817463. The next prime is 817483. The reversal of 817472 is 274718.

It can be written as a sum of positive squares in 2 ways, for example, as 602176 + 215296 = 776^2 + 464^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

817472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3272 + ... + 3512.

2⁸¹⁷⁴⁷² 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 817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829818).

817472 is an abundant number, since it is smaller than the sum of its proper divisors (842164).

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

817472 is a wasteful number, since it uses less digits than its factorization.

817472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 3136, while the sum is 29.

The square root of 817472 is about 904.1415818333. The cubic root of 817472 is about 93.5027309105.

The spelling of 817472 in words is "eight hundred seventeen thousand, four hundred seventy-two".