312321492 has 108 divisors (see below), whose sum is σ = 927995796. Its totient is φ = 88300800.

The previous prime is 312321469. The next prime is 312321511. The reversal of 312321492 is 294123213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 151437636 + 160883856 = 12306^2 + 12684^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177288 + ... + 179040.

Almost surely, 2^312321492 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 312321492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463997898).

312321492 is an abundant number, since it is smaller than the sum of its proper divisors (615674304).

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

312321492 is a wasteful number, since it uses less digits than its factorization.

312321492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 312321492 is about 17672.6198397408. The cubic root of 312321492 is about 678.4751674685.

The spelling of 312321492 in words is "three hundred twelve million, three hundred twenty-one thousand, four hundred ninety-two".