829638 has 12 divisors (see below), whose sum is σ = 1797588. Its totient is φ = 276540.

The previous prime is 829637. The next prime is 829639. The reversal of 829638 is 836928.

It is an interprime number because it is at equal distance from previous prime (829637) and next prime (829639).

It is a super-2 number, since 2×829638² = 1376598422088, which contains 22 as substring.

It is a Curzon number.

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 829638.

It is not an unprimeable number, because it can be changed into a prime (829637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23028 + ... + 23063.

It is an arithmetic number, because the mean of its divisors is an integer number (149799).

2⁸²⁹⁶³⁸ is an apocalyptic number.

829638 is an abundant number, since it is smaller than the sum of its proper divisors (967950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829638 is a wasteful number, since it uses less digits than its factorization.

829638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46099 (or 46096 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 829638 is about 910.8446629366. The cubic root of 829638 is about 93.9642991030.

It can be divided in two parts, 8 and 29638, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 829638 in words is "eight hundred twenty-nine thousand, six hundred thirty-eight".