829223 has 2 divisors, whose sum is σ = 829224. Its totient is φ = 829222.

The previous prime is 829211. The next prime is 829229. The reversal of 829223 is 322928.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 829223 - 2⁶ = 829159 is a prime.

It is a super-2 number, since 2×829223² = 1375221567458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 829192 and 829201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829229) 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, 414611 + 414612.

It is an arithmetic number, because the mean of its divisors is an integer number (414612).

2⁸²⁹²²³ is an apocalyptic number.

829223 is a deficient number, since it is larger than the sum of its proper divisors (1).

829223 is an equidigital number, since it uses as much as digits as its factorization.

829223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

The square root of 829223 is about 910.6168239166. The cubic root of 829223 is about 93.9486289400.

The spelling of 829223 in words is "eight hundred twenty-nine thousand, two hundred twenty-three".