828131 has 2 divisors, whose sum is σ = 828132. Its totient is φ = 828130.

The previous prime is 828127. The next prime is 828133. The reversal of 828131 is 131828.

828131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 828131 - 2² = 828127 is a prime.

It is a super-2 number, since 2×828131² = 1371601906322, which contains 22 as substring.

Together with 828133, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 828097 and 828106.

It is not a weakly prime, because it can be changed into another prime (828133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414065 + 414066.

It is an arithmetic number, because the mean of its divisors is an integer number (414066).

2⁸²⁸¹³¹ is an apocalyptic number.

828131 is a deficient number, since it is larger than the sum of its proper divisors (1).

828131 is an equidigital number, since it uses as much as digits as its factorization.

828131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 23.

The square root of 828131 is about 910.0170328076. The cubic root of 828131 is about 93.9073706496.

Adding to 828131 its reverse (131828), we get a palindrome (959959).

It can be divided in two parts, 828 and 131, that added together give a palindrome (959).

The spelling of 828131 in words is "eight hundred twenty-eight thousand, one hundred thirty-one".