828953 has 2 divisors, whose sum is σ = 828954. Its totient is φ = 828952.

The previous prime is 828941. The next prime is 828967. The reversal of 828953 is 359828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 4489 = 908^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 828953 - 2⁶ = 828889 is a prime.

It is not a weakly prime, because it can be changed into another prime (828923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414476 + 414477.

It is an arithmetic number, because the mean of its divisors is an integer number (414477).

2⁸²⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

828953 is a deficient number, since it is larger than the sum of its proper divisors (1).

828953 is an equidigital number, since it uses as much as digits as its factorization.

828953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 35.

The square root of 828953 is about 910.4685606873. The cubic root of 828953 is about 93.9384310867.

The spelling of 828953 in words is "eight hundred twenty-eight thousand, nine hundred fifty-three".