819201 has 4 divisors (see below), whose sum is σ = 1092272. Its totient is φ = 546132.

The previous prime is 819187. The next prime is 819229. The reversal of 819201 is 102918.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 819201 - 2⁷ = 819073 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136531 + ... + 136536.

It is an arithmetic number, because the mean of its divisors is an integer number (273068).

It is a Proth number, since it is equal to 25 ⋅ 2¹⁵ + 1 and 25 < 2¹⁵.

2⁸¹⁹²⁰¹ is an apocalyptic number.

It is an amenable number.

819201 is a deficient number, since it is larger than the sum of its proper divisors (273071).

819201 is a wasteful number, since it uses less digits than its factorization.

819201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273070.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 819201 is about 905.0972323458. The cubic root of 819201 is about 93.5686056959.

The spelling of 819201 in words is "eight hundred nineteen thousand, two hundred one".