823829953 has 4 divisors (see below), whose sum is σ = 823940308. Its totient is φ = 823719600.

The previous prime is 823829891. The next prime is 823829971. The reversal of 823829953 is 359928328.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 408363264 + 415466689 = 20208^2 + 20383^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823829953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 823829897 and 823829906.

It is not an unprimeable number, because it can be changed into a prime (820829953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43098 + ... + 59203.

It is an arithmetic number, because the mean of its divisors is an integer number (205985077).

Almost surely, 2^823829953 is an apocalyptic number.

It is an amenable number.

823829953 is a deficient number, since it is larger than the sum of its proper divisors (110355).

823829953 is a wasteful number, since it uses less digits than its factorization.

823829953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110354.

The product of its digits is 933120, while the sum is 49.

The square root of 823829953 is about 28702.4381020150. The cubic root of 823829953 is about 937.4451345195.

The spelling of 823829953 in words is "eight hundred twenty-three million, eight hundred twenty-nine thousand, nine hundred fifty-three".