930312 has 64 divisors (see below), whose sum is σ = 2664000. Its totient is φ = 300672.

The previous prime is 930301. The next prime is 930323. The reversal of 930312 is 213039.

It is an interprime number because it is at equal distance from previous prime (930301) and next prime (930323).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

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 15 ways as a sum of consecutive naturals, for example, 12708 + ... + 12780.

It is an arithmetic number, because the mean of its divisors is an integer number (41625).

2⁹³⁰³¹² 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 930312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332000).

930312 is an abundant number, since it is smaller than the sum of its proper divisors (1733688).

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

930312 is a wasteful number, since it uses less digits than its factorization.

930312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 930312 is about 964.5268269986. The cubic root of 930312 is about 97.6209150734.

The spelling of 930312 in words is "nine hundred thirty thousand, three hundred twelve".