829256431 has 2 divisors, whose sum is σ = 829256432. Its totient is φ = 829256430.

The previous prime is 829256411. The next prime is 829256437. The reversal of 829256431 is 134652928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 829256431 - 2⁹ = 829255919 is a prime.

It is a super-2 number, since 2×829256431² = 1375332456709715522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829256437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414628215 + 414628216.

It is an arithmetic number, because the mean of its divisors is an integer number (414628216).

Almost surely, 2^829256431 is an apocalyptic number.

829256431 is a deficient number, since it is larger than the sum of its proper divisors (1).

829256431 is an equidigital number, since it uses as much as digits as its factorization.

829256431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 40.

The square root of 829256431 is about 28796.8128618429. The cubic root of 829256431 is about 939.4989146906.

The spelling of 829256431 in words is "eight hundred twenty-nine million, two hundred fifty-six thousand, four hundred thirty-one".