829697 has 6 divisors (see below), whose sum is σ = 912114. Its totient is φ = 754160.

The previous prime is 829693. The next prime is 829709. The reversal of 829697 is 796928.

It can be written as a sum of positive squares in only one way, i.e., 450241 + 379456 = 671^2 + 616^2 .

It is not a de Polignac number, because 829697 - 2² = 829693 is a prime.

It is a super-2 number, since 2×829697² = 1376794223618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3308 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (152019).

2⁸²⁹⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

829697 is a deficient number, since it is larger than the sum of its proper divisors (82417).

829697 is a wasteful number, since it uses less digits than its factorization.

829697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6868 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 829697 is about 910.8770498810. The cubic root of 829697 is about 93.9665264850.

It can be divided in two parts, 82 and 9697, that added together give a palindrome (9779).

The spelling of 829697 in words is "eight hundred twenty-nine thousand, six hundred ninety-seven".