827841 has 16 divisors (see below), whose sum is σ = 1280000. Its totient is φ = 466128.

The previous prime is 827837. The next prime is 827843. The reversal of 827841 is 148728.

It is not a de Polignac number, because 827841 - 2² = 827837 is a prime.

It is a Duffinian number.

It is a Curzon number.

827841 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 827799 and 827808.

It is not an unprimeable number, because it can be changed into a prime (827843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 1908.

It is an arithmetic number, because the mean of its divisors is an integer number (80000).

2⁸²⁷⁸⁴¹ is an apocalyptic number.

It is an amenable number.

827841 is a deficient number, since it is larger than the sum of its proper divisors (452159).

827841 is a wasteful number, since it uses less digits than its factorization.

827841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its digits is 3584, while the sum is 30.

The square root of 827841 is about 909.8576811788. The cubic root of 827841 is about 93.8964076832.

The spelling of 827841 in words is "eight hundred twenty-seven thousand, eight hundred forty-one".