813212249 has 2 divisors, whose sum is σ = 813212250. Its totient is φ = 813212248.

The previous prime is 813212209. The next prime is 813212261. The reversal of 813212249 is 942212318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 773118025 + 40094224 = 27805^2 + 6332^2 .

It is a cyclic number.

It is not a de Polignac number, because 813212249 - 2¹² = 813208153 is a prime.

It is a super-2 number, since 2×813212249² = 1322628323847276002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (813212209) 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 as a sum of consecutive naturals, namely, 406606124 + 406606125.

It is an arithmetic number, because the mean of its divisors is an integer number (406606125).

Almost surely, 2^813212249 is an apocalyptic number.

It is an amenable number.

813212249 is a deficient number, since it is larger than the sum of its proper divisors (1).

813212249 is an equidigital number, since it uses as much as digits as its factorization.

813212249 is an odious number, because the sum of its binary digits is odd.

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

The square root of 813212249 is about 28516.8765645889. The cubic root of 813212249 is about 933.4003739117.

The spelling of 813212249 in words is "eight hundred thirteen million, two hundred twelve thousand, two hundred forty-nine".