802181 has 2 divisors, whose sum is σ = 802182. Its totient is φ = 802180.

The previous prime is 802177. The next prime is 802183. The reversal of 802181 is 181208.

802181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 801025 + 1156 = 895^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 802181 - 2² = 802177 is a prime.

It is a super-2 number, since 2×802181² = 1286988713522, which contains 22 as substring.

Together with 802183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802181.

It is not a weakly prime, because it can be changed into another prime (802183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401090 + 401091.

It is an arithmetic number, because the mean of its divisors is an integer number (401091).

2⁸⁰²¹⁸¹ is an apocalyptic number.

It is an amenable number.

802181 is a deficient number, since it is larger than the sum of its proper divisors (1).

802181 is an equidigital number, since it uses as much as digits as its factorization.

802181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 802181 is about 895.6455772235. The cubic root of 802181 is about 92.9160610023.

Adding to 802181 its reverse (181208), we get a palindrome (983389).

The spelling of 802181 in words is "eight hundred two thousand, one hundred eighty-one".