800621249 has 2 divisors, whose sum is σ = 800621250. Its totient is φ = 800621248.

The previous prime is 800621189. The next prime is 800621267. The reversal of 800621249 is 942126008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719044225 + 81577024 = 26815^2 + 9032^2 .

It is a cyclic number.

It is not a de Polignac number, because 800621249 - 2²⁰ = 799572673 is a prime.

It is a Chen prime.

It is equal to p_41176508 and since 800621249 and 41176508 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (800623249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400310624 + 400310625.

It is an arithmetic number, because the mean of its divisors is an integer number (400310625).

Almost surely, 2^800621249 is an apocalyptic number.

It is an amenable number.

800621249 is a deficient number, since it is larger than the sum of its proper divisors (1).

800621249 is an equidigital number, since it uses as much as digits as its factorization.

800621249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 800621249 is about 28295.2513507125. The cubic root of 800621249 is about 928.5580030823.

The spelling of 800621249 in words is "eight hundred million, six hundred twenty-one thousand, two hundred forty-nine".