802112 has 28 divisors (see below), whose sum is σ = 1621536. Its totient is φ = 393600.

The previous prime is 802103. The next prime is 802121. The reversal of 802112 is 211208.

It is an interprime number because it is at equal distance from previous prime (802103) and next prime (802121).

It is a congruent number.

It is an unprimeable number.

802112 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, 5237 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (57912).

2⁸⁰²¹¹² 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 802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768).

802112 is an abundant number, since it is smaller than the sum of its proper divisors (819424).

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

802112 is a wasteful number, since it uses less digits than its factorization.

802112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 802112 is about 895.6070566939. The cubic root of 802112 is about 92.9133968521.

The spelling of 802112 in words is "eight hundred two thousand, one hundred twelve".