829974093 has 16 divisors (see below), whose sum is σ = 1254482880. Its totient is φ = 483871104.

The previous prime is 829974059. The next prime is 829974107. The reversal of 829974093 is 390479928.

829974093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829974093 - 2¹² = 829969997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829974053) 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, 559296 + ... + 560777.

It is an arithmetic number, because the mean of its divisors is an integer number (78405180).

Almost surely, 2^829974093 is an apocalyptic number.

It is an amenable number.

829974093 is a deficient number, since it is larger than the sum of its proper divisors (424508787).

829974093 is a wasteful number, since it uses less digits than its factorization.

829974093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120108.

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 829974093 is about 28809.2709557184. The cubic root of 829974093 is about 939.7698595337.

The spelling of 829974093 in words is "eight hundred twenty-nine million, nine hundred seventy-four thousand, ninety-three".