805972819 has 2 divisors, whose sum is σ = 805972820. Its totient is φ = 805972818.

The previous prime is 805972763. The next prime is 805972841. The reversal of 805972819 is 918279508.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 805972819 - 2¹⁹ = 805448531 is a prime.

It is a super-4 number, since 4×805972819⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (805972859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 402986409 + 402986410.

It is an arithmetic number, because the mean of its divisors is an integer number (402986410).

Almost surely, 2^805972819 is an apocalyptic number.

805972819 is a deficient number, since it is larger than the sum of its proper divisors (1).

805972819 is an equidigital number, since it uses as much as digits as its factorization.

805972819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 49.

The square root of 805972819 is about 28389.6604241756. The cubic root of 805972819 is about 930.6223217465.

The spelling of 805972819 in words is "eight hundred five million, nine hundred seventy-two thousand, eight hundred nineteen".