393201 has 8 divisors (see below), whose sum is σ = 582560. Its totient is φ = 262116.

The previous prime is 393191. The next prime is 393203. The reversal of 393201 is 102393.

It is not a de Polignac number, because 393201 - 2⁶ = 393137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393203) 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, 7255 + ... + 7308.

It is an arithmetic number, because the mean of its divisors is an integer number (72820).

2³⁹³²⁰¹ is an apocalyptic number.

It is an amenable number.

393201 is a deficient number, since it is larger than the sum of its proper divisors (189359).

393201 is a wasteful number, since it uses less digits than its factorization.

393201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14572 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 393201 is about 627.0574136393. The cubic root of 393201 is about 73.2607799407.

Adding to 393201 its reverse (102393), we get a palindrome (495594).

It can be divided in two parts, 39 and 3201, that added together give a triangular number (3240 = T₈₀).

The spelling of 393201 in words is "three hundred ninety-three thousand, two hundred one".