829638901 has 16 divisors (see below), whose sum is σ = 1048695424. Its totient is φ = 638673984.

The previous prime is 829638893. The next prime is 829638923. The reversal of 829638901 is 109836928.

It is not a de Polignac number, because 829638901 - 2³ = 829638893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829638991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119835 + ... + 126568.

It is an arithmetic number, because the mean of its divisors is an integer number (65543464).

Almost surely, 2^829638901 is an apocalyptic number.

It is an amenable number.

829638901 is a deficient number, since it is larger than the sum of its proper divisors (219056523).

829638901 is a wasteful number, since it uses less digits than its factorization.

829638901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246460.

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 829638901 is about 28803.4529353687. The cubic root of 829638901 is about 939.6433311852.

The spelling of 829638901 in words is "eight hundred twenty-nine million, six hundred thirty-eight thousand, nine hundred one".