821142933 has 16 divisors (see below), whose sum is σ = 1184238720. Its totient is φ = 503106624.

The previous prime is 821142919. The next prime is 821142937. The reversal of 821142933 is 339241128.

821142933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821142933 - 2⁶ = 821142869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 821142894 and 821142903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821142937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37041 + ... + 54902.

It is an arithmetic number, because the mean of its divisors is an integer number (74014920).

Almost surely, 2^821142933 is an apocalyptic number.

It is an amenable number.

821142933 is a deficient number, since it is larger than the sum of its proper divisors (363095787).

821142933 is a wasteful number, since it uses less digits than its factorization.

821142933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92188.

The product of its digits is 10368, while the sum is 33.

The square root of 821142933 is about 28655.5916532882. The cubic root of 821142933 is about 936.4248279256.

The spelling of 821142933 in words is "eight hundred twenty-one million, one hundred forty-two thousand, nine hundred thirty-three".