845312 has 40 divisors (see below), whose sum is σ = 1833216. Its totient is φ = 387072.

The previous prime is 845309. The next prime is 845333. The reversal of 845312 is 213548.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6593 + ... + 6719.

2⁸⁴⁵³¹² 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 845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608).

845312 is an abundant number, since it is smaller than the sum of its proper divisors (987904).

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

845312 is a wasteful number, since it uses less digits than its factorization.

845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 845312 is about 919.4085055078. The cubic root of 845312 is about 94.5523538089.

The spelling of 845312 in words is "eight hundred forty-five thousand, three hundred twelve".