829112761 has 16 divisors (see below), whose sum is σ = 873437904. Its totient is φ = 786150144.

The previous prime is 829112731. The next prime is 829112771. The reversal of 829112761 is 167211928.

829112761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29637136 + 799475625 = 5444^2 + 28275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829112761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 829112761.

It is not an unprimeable number, because it can be changed into a prime (829112731) 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, 306531 + ... + 309223.

It is an arithmetic number, because the mean of its divisors is an integer number (54589869).

Almost surely, 2^829112761 is an apocalyptic number.

It is an amenable number.

829112761 is a deficient number, since it is larger than the sum of its proper divisors (44325143).

829112761 is a wasteful number, since it uses less digits than its factorization.

829112761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940.

The product of its digits is 12096, while the sum is 37.

The square root of 829112761 is about 28794.3182068963. The cubic root of 829112761 is about 939.4446549949. Note that the first 3 decimals are identical.

The spelling of 829112761 in words is "eight hundred twenty-nine million, one hundred twelve thousand, seven hundred sixty-one".