817212 has 48 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 240000.

The previous prime is 817211. The next prime is 817237. The reversal of 817212 is 212718.

817212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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 (817211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5337 + ... + 5487.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁸¹⁷²¹² is an apocalyptic number.

817212 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

817212 is an abundant number, since it is smaller than the sum of its proper divisors (1327812).

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

817212 is a wasteful number, since it uses less digits than its factorization.

817212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 817212 is about 903.9977876079. The cubic root of 817212 is about 93.4928168960.

The spelling of 817212 in words is "eight hundred seventeen thousand, two hundred twelve".