821952233 has 2 divisors, whose sum is σ = 821952234. Its totient is φ = 821952232.

The previous prime is 821952221. The next prime is 821952239. The reversal of 821952233 is 332259128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 797667049 + 24285184 = 28243^2 + 4928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-821952233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 821952193 and 821952202.

It is not a weakly prime, because it can be changed into another prime (821952239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410976116 + 410976117.

It is an arithmetic number, because the mean of its divisors is an integer number (410976117).

Almost surely, 2^821952233 is an apocalyptic number.

It is an amenable number.

821952233 is a deficient number, since it is larger than the sum of its proper divisors (1).

821952233 is an equidigital number, since it uses as much as digits as its factorization.

821952233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 35.

The square root of 821952233 is about 28669.7093288369. The cubic root of 821952233 is about 936.7323666606.

The spelling of 821952233 in words is "eight hundred twenty-one million, nine hundred fifty-two thousand, two hundred thirty-three".