827855 has 24 divisors (see below), whose sum is σ = 1203840. Its totient is φ = 544320.

The previous prime is 827851. The next prime is 827857. The reversal of 827855 is 558728.

It is not a de Polignac number, because 827855 - 2² = 827851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a d-powerful number, because it can be written as 8² + 2 + 8⁴ + 7⁷ + 5² + 5³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7541 + ... + 7649.

It is an arithmetic number, because the mean of its divisors is an integer number (50160).

2⁸²⁷⁸⁵⁵ is an apocalyptic number.

827855 is a deficient number, since it is larger than the sum of its proper divisors (375985).

827855 is a wasteful number, since it uses less digits than its factorization.

827855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 827855 is about 909.8653746572. The cubic root of 827855 is about 93.8969369887.

827855 divided by its sum of digits (35) gives a triangular number (23653 = T₂₁₇).

The spelling of 827855 in words is "eight hundred twenty-seven thousand, eight hundred fifty-five".