809948097 has 36 divisors (see below), whose sum is σ = 1363454820. Its totient is φ = 461970432.

The previous prime is 809948089. The next prime is 809948099. The reversal of 809948097 is 790849908.

It can be written as a sum of positive squares in 2 ways, for example, as 569108736 + 240839361 = 23856^2 + 15519^2 .

It is not a de Polignac number, because 809948097 - 2³ = 809948089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (809948099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295429 + ... + 298157.

It is an arithmetic number, because the mean of its divisors is an integer number (37873745).

Almost surely, 2^809948097 is an apocalyptic number.

It is an amenable number.

809948097 is a deficient number, since it is larger than the sum of its proper divisors (553506723).

809948097 is a wasteful number, since it uses less digits than its factorization.

809948097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 809948097 is about 28459.5870841444. The cubic root of 809948097 is about 932.1498409055.

The spelling of 809948097 in words is "eight hundred nine million, nine hundred forty-eight thousand, ninety-seven".