10821329 has 2 divisors, whose sum is σ = 10821330. Its totient is φ = 10821328.

The previous prime is 10821319. The next prime is 10821331. The reversal of 10821329 is 92312801.

10821329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10368400 + 452929 = 3220^2 + 673^2 .

It is a cyclic number.

It is not a de Polignac number, because 10821329 - 2⁴ = 10821313 is a prime.

It is a super-2 number, since 2×10821329² = 234202322652482, which contains 22 as substring.

Together with 10821331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10821298 and 10821307.

It is not a weakly prime, because it can be changed into another prime (10821319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410664 + 5410665.

It is an arithmetic number, because the mean of its divisors is an integer number (5410665).

Almost surely, 2^10821329 is an apocalyptic number.

It is an amenable number.

10821329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821329 is an equidigital number, since it uses as much as digits as its factorization.

10821329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10821329 is about 3289.5788484242. The cubic root of 10821329 is about 221.1873066541.

The spelling of 10821329 in words is "ten million, eight hundred twenty-one thousand, three hundred twenty-nine".