829011089 has 2 divisors, whose sum is σ = 829011090. Its totient is φ = 829011088.

The previous prime is 829011077. The next prime is 829011091. The reversal of 829011089 is 980110928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 773284864 + 55726225 = 27808^2 + 7465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829011089 is a prime.

Together with 829011091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (829011019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414505544 + 414505545.

It is an arithmetic number, because the mean of its divisors is an integer number (414505545).

Almost surely, 2^829011089 is an apocalyptic number.

It is an amenable number.

829011089 is a deficient number, since it is larger than the sum of its proper divisors (1).

829011089 is an equidigital number, since it uses as much as digits as its factorization.

829011089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 38.

The square root of 829011089 is about 28792.5526655766. The cubic root of 829011089 is about 939.4062528515.

The spelling of 829011089 in words is "eight hundred twenty-nine million, eleven thousand, eighty-nine".