323964001 has 9 divisors (see below), whose sum is σ = 332816403. Its totient is φ = 315342480.

The previous prime is 323963987. The next prime is 323964013. The reversal of 323964001 is 100469323.

The square root of 323964001 is 17999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15610401 + 308353600 = 3951^2 + 17560^2 .

It is not a de Polignac number, because 323964001 - 2⁷ = 323963873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323964031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 737740 + ... + 738178.

Almost surely, 2^323964001 is an apocalyptic number.

323964001 is the 17999-th square number.

323964001 is the 9000-th centered octagonal number.

It is an amenable number.

323964001 is a deficient number, since it is larger than the sum of its proper divisors (8852402).

323964001 is an frugal number, since it uses more digits than its factorization.

323964001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The cubic root of 323964001 is about 686.8031072022.

It can be divided in two parts, 323 and 964001, that added together give a square (964324 = 982²).

The spelling of 323964001 in words is "three hundred twenty-three million, nine hundred sixty-four thousand, one".