800621 has 2 divisors, whose sum is σ = 800622. Its totient is φ = 800620.

The previous prime is 800599. The next prime is 800623. The reversal of 800621 is 126008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 784996 + 15625 = 886^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 800621 - 2⁶ = 800557 is a prime.

It is a super-3 number, since 3×800621³ = 1539579737333649183, which contains 333 as substring.

Together with 800623, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 800621.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400310 + 400311.

It is an arithmetic number, because the mean of its divisors is an integer number (400311).

2⁸⁰⁰⁶²¹ is an apocalyptic number.

It is an amenable number.

800621 is a deficient number, since it is larger than the sum of its proper divisors (1).

800621 is an equidigital number, since it uses as much as digits as its factorization.

800621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 800621 is about 894.7742732108. The cubic root of 800621 is about 92.8557906819.

Adding to 800621 its reverse (126008), we get a palindrome (926629).

The spelling of 800621 in words is "eight hundred thousand, six hundred twenty-one".