393982801 has 9 divisors (see below), whose sum is σ = 412335049. Its totient is φ = 376416436.

The previous prime is 393982793. The next prime is 393982843. The reversal of 393982801 is 108289393.

It is a happy number.

The square root of 393982801 is 19849.

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

It is not a de Polignac number, because 393982801 - 2³ = 393982793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393982891) 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, 456096 + ... + 456958.

Almost surely, 2^393982801 is an apocalyptic number.

393982801 is the 19849-th square number.

393982801 is the 9925-th centered octagonal number.

It is an amenable number.

393982801 is a deficient number, since it is larger than the sum of its proper divisors (18352248).

393982801 is an frugal number, since it uses more digits than its factorization.

393982801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 393982801 is about 733.0930256464.

The spelling of 393982801 in words is "three hundred ninety-three million, nine hundred eighty-two thousand, eight hundred one".