829680501 has 16 divisors (see below), whose sum is σ = 1193002496. Its totient is φ = 509858496.

The previous prime is 829680491. The next prime is 829680503. The reversal of 829680501 is 105086928.

It is not a de Polignac number, because 829680501 - 2⁶ = 829680437 is a prime.

It is a super-2 number, since 2×829680501² = 1376739467479222002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 829680501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829680503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14076 + ... + 43098.

It is an arithmetic number, because the mean of its divisors is an integer number (74562656).

Almost surely, 2^829680501 is an apocalyptic number.

It is an amenable number.

829680501 is a deficient number, since it is larger than the sum of its proper divisors (363321995).

829680501 is a wasteful number, since it uses less digits than its factorization.

829680501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29772.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 829680501 is about 28804.1750619593. The cubic root of 829680501 is about 939.6590362143.

The spelling of 829680501 in words is "eight hundred twenty-nine million, six hundred eighty thousand, five hundred one".