829137983 has 8 divisors (see below), whose sum is σ = 832972800. Its totient is φ = 825312888.

The previous prime is 829137977. The next prime is 829138003. The reversal of 829137983 is 389731928.

It is a happy number.

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 829137983 - 2²⁴ = 812360767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829130983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208310 + ... + 212252.

It is an arithmetic number, because the mean of its divisors is an integer number (104121600).

Almost surely, 2^829137983 is an apocalyptic number.

829137983 is a deficient number, since it is larger than the sum of its proper divisors (3834817).

829137983 is a wasteful number, since it uses less digits than its factorization.

829137983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861.

The product of its digits is 653184, while the sum is 50.

The square root of 829137983 is about 28794.7561719144. The cubic root of 829137983 is about 939.4541810143.

The spelling of 829137983 in words is "eight hundred twenty-nine million, one hundred thirty-seven thousand, nine hundred eighty-three".