321964409 has 8 divisors (see below), whose sum is σ = 358687560. Its totient is φ = 286949376.

The previous prime is 321964399. The next prime is 321964439. The reversal of 321964409 is 904469123.

It can be written as a sum of positive squares in 4 ways, for example, as 79477225 + 242487184 = 8915^2 + 15572^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321964409 - 2¹⁶ = 321898873 is a prime.

It is a super-2 number, since 2×321964409² = 207322161325438562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321964439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426632 + ... + 427385.

It is an arithmetic number, because the mean of its divisors is an integer number (44835945).

Almost surely, 2^321964409 is an apocalyptic number.

It is an amenable number.

321964409 is a deficient number, since it is larger than the sum of its proper divisors (36723151).

321964409 is a wasteful number, since it uses less digits than its factorization.

321964409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854059.

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 321964409 is about 17943.3667130781. The cubic root of 321964409 is about 685.3871461340.

The spelling of 321964409 in words is "three hundred twenty-one million, nine hundred sixty-four thousand, four hundred nine".