993201 has 8 divisors (see below), whose sum is σ = 1444704. Its totient is φ = 601920.

The previous prime is 993199. The next prime is 993203. The reversal of 993201 is 102399.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (993199) and next prime (993203).

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

It is not a de Polignac number, because 993201 - 2¹ = 993199 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

993201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (993203) 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, 15016 + ... + 15081.

It is an arithmetic number, because the mean of its divisors is an integer number (180588).

2⁹⁹³²⁰¹ is an apocalyptic number.

It is an amenable number.

993201 is a deficient number, since it is larger than the sum of its proper divisors (451503).

993201 is a wasteful number, since it uses less digits than its factorization.

993201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30111.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 993201 is about 996.5947019727. The cubic root of 993201 is about 99.7728510911.

The spelling of 993201 in words is "nine hundred ninety-three thousand, two hundred one".