829047133 has 8 divisors (see below), whose sum is σ = 841009400. Its totient is φ = 817164288.

The previous prime is 829047119. The next prime is 829047137. The reversal of 829047133 is 331740928.

It can be written as a sum of positive squares in 4 ways, for example, as 114126489 + 714920644 = 10683^2 + 26738^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829047133 - 2¹³ = 829038941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829047092 and 829047101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829047137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 40741.

It is an arithmetic number, because the mean of its divisors is an integer number (105126175).

Almost surely, 2^829047133 is an apocalyptic number.

It is an amenable number.

829047133 is a deficient number, since it is larger than the sum of its proper divisors (11962267).

829047133 is a wasteful number, since it uses less digits than its factorization.

829047133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39711.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 829047133 is about 28793.1785845189. The cubic root of 829047133 is about 939.4198672525.

The spelling of 829047133 in words is "eight hundred twenty-nine million, forty-seven thousand, one hundred thirty-three".