825131 has 2 divisors, whose sum is σ = 825132. Its totient is φ = 825130.

The previous prime is 825109. The next prime is 825161. The reversal of 825131 is 131528.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 825131 - 2⁶ = 825067 is a prime.

It is a super-2 number, since 2×825131² = 1361682334322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825101) 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 as a sum of consecutive naturals, namely, 412565 + 412566.

It is an arithmetic number, because the mean of its divisors is an integer number (412566).

2⁸²⁵¹³¹ is an apocalyptic number.

825131 is a deficient number, since it is larger than the sum of its proper divisors (1).

825131 is an equidigital number, since it uses as much as digits as its factorization.

825131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 20.

The square root of 825131 is about 908.3672164934. The cubic root of 825131 is about 93.7938366843.

Adding to 825131 its reverse (131528), we get a palindrome (956659).

The spelling of 825131 in words is "eight hundred twenty-five thousand, one hundred thirty-one".