827929 has 2 divisors, whose sum is σ = 827930. Its totient is φ = 827928.

The previous prime is 827927. The next prime is 827941. The reversal of 827929 is 929728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 597529 + 230400 = 773^2 + 480^2 .

It is a cyclic number.

It is not a de Polignac number, because 827929 - 2¹ = 827927 is a prime.

Together with 827927, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 8⁴ + 2⁴ + 9 + 7⁷ + 2⁸ + 9 .

It is not a weakly prime, because it can be changed into another prime (827923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413964 + 413965.

It is an arithmetic number, because the mean of its divisors is an integer number (413965).

2⁸²⁷⁹²⁹ is an apocalyptic number.

It is an amenable number.

827929 is a deficient number, since it is larger than the sum of its proper divisors (1).

827929 is an equidigital number, since it uses as much as digits as its factorization.

827929 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 37.

The square root of 827929 is about 909.9060391051. The cubic root of 827929 is about 93.8997346470.

The spelling of 827929 in words is "eight hundred twenty-seven thousand, nine hundred twenty-nine".