829641 has 8 divisors (see below), whose sum is σ = 1117984. Its totient is φ = 547200.

The previous prime is 829639. The next prime is 829643. The reversal of 829641 is 146928.

It is an interprime number because it is at equal distance from previous prime (829639) and next prime (829643).

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

It is not a de Polignac number, because 829641 - 2¹ = 829639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829599 and 829608.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829641.

It is not an unprimeable number, because it can be changed into a prime (829643) 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, 1135 + ... + 1716.

It is an arithmetic number, because the mean of its divisors is an integer number (139748).

2⁸²⁹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

829641 is a deficient number, since it is larger than the sum of its proper divisors (288343).

829641 is a wasteful number, since it uses less digits than its factorization.

829641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951.

The product of its digits is 3456, while the sum is 30.

The square root of 829641 is about 910.8463097581. The cubic root of 829641 is about 93.9644123622.

The spelling of 829641 in words is "eight hundred twenty-nine thousand, six hundred forty-one".