827131 has 2 divisors, whose sum is σ = 827132. Its totient is φ = 827130.

The previous prime is 827129. The next prime is 827143. The reversal of 827131 is 131728.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 827131 - 2¹ = 827129 is a prime.

It is a super-2 number, since 2×827131² = 1368291382322, which contains 22 as substring.

Together with 827129, it forms a pair of twin primes.

It is a Chen prime.

827131 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (827161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413565 + 413566.

It is an arithmetic number, because the mean of its divisors is an integer number (413566).

2⁸²⁷¹³¹ is an apocalyptic number.

827131 is a deficient number, since it is larger than the sum of its proper divisors (1).

827131 is an equidigital number, since it uses as much as digits as its factorization.

827131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 22.

The square root of 827131 is about 909.4674265745. The cubic root of 827131 is about 93.8695565055.

Adding to 827131 its reverse (131728), we get a palindrome (958859).

The spelling of 827131 in words is "eight hundred twenty-seven thousand, one hundred thirty-one".