817232 has 20 divisors (see below), whose sum is σ = 1705620. Its totient is φ = 377088.

The previous prime is 817211. The next prime is 817237. The reversal of 817232 is 232718.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 698896 = 344^2 + 836^2 .

It is a super-3 number, since 3×817232³ = 1637409651837333504, which contains 333 as substring.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 817198 and 817207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817237) by changing a digit.

817232 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, 1757 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (85281).

2⁸¹⁷²³² is an apocalyptic number.

It is an amenable number.

817232 is an abundant number, since it is smaller than the sum of its proper divisors (888388).

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

817232 is a wasteful number, since it uses less digits than its factorization.

817232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3944 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 817232 is about 904.0088495142. The cubic root of 817232 is about 93.4935795872.

The spelling of 817232 in words is "eight hundred seventeen thousand, two hundred thirty-two".