816966 has 36 divisors (see below), whose sum is σ = 1881516. Its totient is φ = 265680.

The previous prime is 816961. The next prime is 816971. The reversal of 816966 is 669618.

It is an interprime number because it is at equal distance from previous prime (816961) and next prime (816971).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 816966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816961) by changing a digit.

816966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19906 + ... + 19946.

2⁸¹⁶⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940758).

816966 is an abundant number, since it is smaller than the sum of its proper divisors (1064550).

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

816966 is an equidigital number, since it uses as much as digits as its factorization.

816966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 816966 is about 903.8617150870. The cubic root of 816966 is about 93.4834347768.

The spelling of 816966 in words is "eight hundred sixteen thousand, nine hundred sixty-six".