829733961 has 16 divisors (see below), whose sum is σ = 1276176384. Its totient is φ = 469701264.

The previous prime is 829733959. The next prime is 829733969. The reversal of 829733961 is 169337928.

829733961 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 829733961 - 2¹ = 829733959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829733961.

It is not an unprimeable number, because it can be changed into a prime (829733969) 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, 182385 + ... + 186878.

It is an arithmetic number, because the mean of its divisors is an integer number (79761024).

Almost surely, 2^829733961 is an apocalyptic number.

It is an amenable number.

829733961 is a deficient number, since it is larger than the sum of its proper divisors (446442423).

829733961 is a wasteful number, since it uses less digits than its factorization.

829733961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369380.

The product of its digits is 489888, while the sum is 48.

The square root of 829733961 is about 28805.1030374828. The cubic root of 829733961 is about 939.6792179160.

The spelling of 829733961 in words is "eight hundred twenty-nine million, seven hundred thirty-three thousand, nine hundred sixty-one".