829089801 has 6 divisors (see below), whose sum is σ = 1197574170. Its totient is φ = 552726528.

The previous prime is 829089799. The next prime is 829089817. The reversal of 829089801 is 108980928.

It can be written as a sum of positive squares in only one way, i.e., 792366201 + 36723600 = 28149^2 + 6060^2 .

It is not a de Polignac number, because 829089801 - 2¹ = 829089799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829089101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46060536 + ... + 46060553.

It is an arithmetic number, because the mean of its divisors is an integer number (199595695).

Almost surely, 2^829089801 is an apocalyptic number.

It is an amenable number.

829089801 is a deficient number, since it is larger than the sum of its proper divisors (368484369).

829089801 is a wasteful number, since it uses less digits than its factorization.

829089801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92121095 (or 92121092 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 829089801 is about 28793.9195143697. The cubic root of 829089801 is about 939.4359831353.

The spelling of 829089801 in words is "eight hundred twenty-nine million, eighty-nine thousand, eight hundred one".