816312 has 64 divisors (see below), whose sum is σ = 2407680. Its totient is φ = 225792.

The previous prime is 816271. The next prime is 816317. The reversal of 816312 is 213618.

816312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816317) by changing a digit.

816312 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 15 ways as a sum of consecutive naturals, for example, 7168 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2⁸¹⁶³¹² is an apocalyptic number.

It is a pronic number, being equal to 903×904.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203840).

816312 is an abundant number, since it is smaller than the sum of its proper divisors (1591368).

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

816312 is a wasteful number, since it uses less digits than its factorization.

816312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 816312 is about 903.4998616491. The cubic root of 816312 is about 93.4584829070.

It can be divided in two parts, 816 and 312, that added together give a triangular number (1128 = T₄₇).

The spelling of 816312 in words is "eight hundred sixteen thousand, three hundred twelve".