945312 has 48 divisors (see below), whose sum is σ = 2550240. Its totient is φ = 306432.

The previous prime is 945293. The next prime is 945331. The reversal of 945312 is 213549.

It is an interprime number because it is at equal distance from previous prime (945293) and next prime (945331).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×945312² = 1787229554688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4014 + ... + 4242.

It is an arithmetic number, because the mean of its divisors is an integer number (53130).

2⁹⁴⁵³¹² 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 945312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275120).

945312 is an abundant number, since it is smaller than the sum of its proper divisors (1604928).

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

945312 is a wasteful number, since it uses less digits than its factorization.

945312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 945312 is about 972.2715670017. The cubic root of 945312 is about 98.1427878283.

The spelling of 945312 in words is "nine hundred forty-five thousand, three hundred twelve".