827834 has 16 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 342384.

The previous prime is 827833. The next prime is 827837. The reversal of 827834 is 438728.

827834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 8² + 2¹² + 8² + 7⁷ + 3 + 4³ .

It is a self number, because there is not a number n which added to its sum of digits gives 827834.

It is not an unprimeable number, because it can be changed into a prime (827833) 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, 614 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2⁸²⁷⁸³⁴ is an apocalyptic number.

827834 is a deficient number, since it is larger than the sum of its proper divisors (640966).

827834 is a wasteful number, since it uses less digits than its factorization.

827834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077.

The product of its digits is 10752, while the sum is 32.

The square root of 827834 is about 909.8538344152. The cubic root of 827834 is about 93.8961430282.

It can be divided in two parts, 827 and 834, that added together give a palindrome (1661).

The spelling of 827834 in words is "eight hundred twenty-seven thousand, eight hundred thirty-four".