829121 has 2 divisors, whose sum is σ = 829122. Its totient is φ = 829120.

The previous prime is 829111. The next prime is 829123. The reversal of 829121 is 121928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 579121 + 250000 = 761^2 + 500^2 .

It is a cyclic number.

It is not a de Polignac number, because 829121 - 2⁶ = 829057 is a prime.

It is a Sophie Germain prime.

Together with 829123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829121.

It is not a weakly prime, because it can be changed into another prime (829123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414560 + 414561.

It is an arithmetic number, because the mean of its divisors is an integer number (414561).

2⁸²⁹¹²¹ is an apocalyptic number.

It is an amenable number.

829121 is a deficient number, since it is larger than the sum of its proper divisors (1).

829121 is an equidigital number, since it uses as much as digits as its factorization.

829121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 23.

The square root of 829121 is about 910.5608162007. The cubic root of 829121 is about 93.9447766779.

The spelling of 829121 in words is "eight hundred twenty-nine thousand, one hundred twenty-one".