829713 has 8 divisors (see below), whose sum is σ = 1111968. Its totient is φ = 550304.

The previous prime is 829709. The next prime is 829721. The reversal of 829713 is 317928.

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 829713 - 2² = 829709 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829713.

It is not an unprimeable number, because it can be changed into a prime (829723) 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, 106 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (138996).

2⁸²⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

829713 is a deficient number, since it is larger than the sum of its proper divisors (282255).

829713 is a wasteful number, since it uses less digits than its factorization.

829713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423.

The product of its digits is 3024, while the sum is 30.

The square root of 829713 is about 910.8858325828. The cubic root of 829713 is about 93.9671305026.

The spelling of 829713 in words is "eight hundred twenty-nine thousand, seven hundred thirteen".