829397 has 4 divisors (see below), whose sum is σ = 845100. Its totient is φ = 813696.

The previous prime is 829349. The next prime is 829399. The reversal of 829397 is 793928.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 358801 + 470596 = 599^2 + 686^2 .

It is a cyclic number.

It is not a de Polignac number, because 829397 - 2¹² = 825301 is a prime.

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 829397.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829397.

It is not an unprimeable number, because it can be changed into a prime (829399) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7772 + ... + 7877.

It is an arithmetic number, because the mean of its divisors is an integer number (211275).

2⁸²⁹³⁹⁷ is an apocalyptic number.

It is an amenable number.

829397 is a deficient number, since it is larger than the sum of its proper divisors (15703).

829397 is a wasteful number, since it uses less digits than its factorization.

829397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702.

The product of its digits is 27216, while the sum is 38.

The square root of 829397 is about 910.7123585414. The cubic root of 829397 is about 93.9551997170.

The spelling of 829397 in words is "eight hundred twenty-nine thousand, three hundred ninety-seven".