808201 has 9 divisors (see below), whose sum is σ = 864903. Its totient is φ = 755160.

The previous prime is 808187. The next prime is 808211. The reversal of 808201 is 102808.

It is a happy number.

The square root of 808201 is 899.

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., 423801 + 384400 = 651^2 + 620^2 .

It is not a de Polignac number, because 808201 - 2⁵ = 808169 is a prime.

It is a Duffinian number.

808201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (808211) 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, 26056 + ... + 26086.

2⁸⁰⁸²⁰¹ is an apocalyptic number.

808201 is the 899-th square number.

808201 is the 450-th centered octagonal number.

It is an amenable number.

808201 is a deficient number, since it is larger than the sum of its proper divisors (56702).

808201 is an equidigital number, since it uses as much as digits as its factorization.

808201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The cubic root of 808201 is about 93.1479127741.

It can be divided in two parts, 80 and 8201, that added together give a square (8281 = 91²).

The spelling of 808201 in words is "eight hundred eight thousand, two hundred one".