820829953 has 2 divisors, whose sum is σ = 820829954. Its totient is φ = 820829952.

The previous prime is 820829951. The next prime is 820829959. The reversal of 820829953 is 359928028.

820829953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 653722624 + 167107329 = 25568^2 + 12927^2 .

It is a cyclic number.

It is not a de Polignac number, because 820829953 - 2¹ = 820829951 is a prime.

Together with 820829951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (820829951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410414976 + 410414977.

It is an arithmetic number, because the mean of its divisors is an integer number (410414977).

Almost surely, 2^820829953 is an apocalyptic number.

It is an amenable number.

820829953 is a deficient number, since it is larger than the sum of its proper divisors (1).

820829953 is an equidigital number, since it uses as much as digits as its factorization.

820829953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 820829953 is about 28650.1300695128. The cubic root of 820829953 is about 936.3058395112.

The spelling of 820829953 in words is "eight hundred twenty million, eight hundred twenty-nine thousand, nine hundred fifty-three".