814153969 has 2 divisors, whose sum is σ = 814153970. Its totient is φ = 814153968.

The previous prime is 814153939. The next prime is 814153973. The reversal of 814153969 is 969351418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712890000 + 101263969 = 26700^2 + 10063^2 .

It is a cyclic number.

It is not a de Polignac number, because 814153969 - 2⁷ = 814153841 is a prime.

It is a super-2 number, since 2×814153969² = 1325693370476905922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (814153939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407076984 + 407076985.

It is an arithmetic number, because the mean of its divisors is an integer number (407076985).

Almost surely, 2^814153969 is an apocalyptic number.

It is an amenable number.

814153969 is a deficient number, since it is larger than the sum of its proper divisors (1).

814153969 is an equidigital number, since it uses as much as digits as its factorization.

814153969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 46.

The square root of 814153969 is about 28533.3834131180. The cubic root of 814153969 is about 933.7605352011.

The spelling of 814153969 in words is "eight hundred fourteen million, one hundred fifty-three thousand, nine hundred sixty-nine".