816901829 has 2 divisors, whose sum is σ = 816901830. Its totient is φ = 816901828.

The previous prime is 816901823. The next prime is 816901859. The reversal of 816901829 is 928109618.

816901829 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., 659976100 + 156925729 = 25690^2 + 12527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-816901829 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 816901829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (816901823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408450914 + 408450915.

It is an arithmetic number, because the mean of its divisors is an integer number (408450915).

Almost surely, 2^816901829 is an apocalyptic number.

It is an amenable number.

816901829 is a deficient number, since it is larger than the sum of its proper divisors (1).

816901829 is an equidigital number, since it uses as much as digits as its factorization.

816901829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 44.

The square root of 816901829 is about 28581.4945200562. The cubic root of 816901829 is about 934.8098706887.

The spelling of 816901829 in words is "eight hundred sixteen million, nine hundred one thousand, eight hundred twenty-nine".