321334092 has 72 divisors (see below), whose sum is σ = 832623792. Its totient is φ = 104457600.

The previous prime is 321334087. The next prime is 321334093. The reversal of 321334092 is 290433123.

It is a happy number.

321334092 is a `hidden beast` number, since 321 + 334 + 0 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (321334093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287118 + ... + 288234.

Almost surely, 2^321334092 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 321334092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416311896).

321334092 is an abundant number, since it is smaller than the sum of its proper divisors (511289700).

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

321334092 is a wasteful number, since it uses less digits than its factorization.

321334092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 321334092 is about 17925.7940409902. The cubic root of 321334092 is about 684.9395879733.

The spelling of 321334092 in words is "three hundred twenty-one million, three hundred thirty-four thousand, ninety-two".