828735 has 8 divisors (see below), whose sum is σ = 1326000. Its totient is φ = 441984.

The previous prime is 828731. The next prime is 828743. The reversal of 828735 is 537828.

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

It is not a de Polignac number, because 828735 - 2² = 828731 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 7⁷ + 8 + 3 + 5⁵ .

828735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 828696 and 828705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828731) 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, 27610 + ... + 27639.

It is an arithmetic number, because the mean of its divisors is an integer number (165750).

2⁸²⁸⁷³⁵ is an apocalyptic number.

828735 is a deficient number, since it is larger than the sum of its proper divisors (497265).

828735 is a wasteful number, since it uses less digits than its factorization.

828735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55257.

The product of its digits is 13440, while the sum is 33.

The square root of 828735 is about 910.3488342388. The cubic root of 828735 is about 93.9301956486.

The spelling of 828735 in words is "eight hundred twenty-eight thousand, seven hundred thirty-five".