827645 has 32 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 488448.

The previous prime is 827639. The next prime is 827677. The reversal of 827645 is 546728.

It is a cyclic number.

It is not a de Polignac number, because 827645 - 2⁶ = 827581 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7682 + ... + 7788.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

827645 is a Friedman number, since it can be written as 8^4+6+(5+2)^7, using all its digits and the basic arithmetic operations.

2⁸²⁷⁶⁴⁵ is an apocalyptic number.

827645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

827645 is a deficient number, since it is larger than the sum of its proper divisors (478723).

827645 is a wasteful number, since it uses less digits than its factorization.

827645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its digits is 13440, while the sum is 32.

The square root of 827645 is about 909.7499656499. The cubic root of 827645 is about 93.8889967800. Note that the first 3 decimals are identical.

The spelling of 827645 in words is "eight hundred twenty-seven thousand, six hundred forty-five".