82805131 has 2 divisors, whose sum is σ = 82805132. Its totient is φ = 82805130.

The previous prime is 82805101. The next prime is 82805159. The reversal of 82805131 is 13150828.

It is an a-pointer prime, because the next prime (82805159) can be obtained adding 82805131 to its sum of digits (28).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82805131 - 2⁷ = 82805003 is a prime.

It is a super-2 number, since 2×82805131² = 13713379439854322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82805131.

It is not a weakly prime, because it can be changed into another prime (82805101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41402565 + 41402566.

It is an arithmetic number, because the mean of its divisors is an integer number (41402566).

Almost surely, 2^82805131 is an apocalyptic number.

82805131 is a deficient number, since it is larger than the sum of its proper divisors (1).

82805131 is an equidigital number, since it uses as much as digits as its factorization.

82805131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 82805131 is about 9099.7324685949. The cubic root of 82805131 is about 435.8654211778.

Adding to 82805131 its reverse (13150828), we get a palindrome (95955959).

The spelling of 82805131 in words is "eighty-two million, eight hundred five thousand, one hundred thirty-one".