82135631 has 2 divisors, whose sum is σ = 82135632. Its totient is φ = 82135630.

The previous prime is 82135621. The next prime is 82135663. The reversal of 82135631 is 13653128.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82135631 - 2¹⁰ = 82134607 is a prime.

It is a super-3 number, since 3×82135631³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82135594 and 82135603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82135621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41067815 + 41067816.

It is an arithmetic number, because the mean of its divisors is an integer number (41067816).

Almost surely, 2^82135631 is an apocalyptic number.

82135631 is a deficient number, since it is larger than the sum of its proper divisors (1).

82135631 is an equidigital number, since it uses as much as digits as its factorization.

82135631 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 82135631 is about 9062.8710130951. The cubic root of 82135631 is about 434.6875476778.

Adding to 82135631 its reverse (13653128), we get a palindrome (95788759).

The spelling of 82135631 in words is "eighty-two million, one hundred thirty-five thousand, six hundred thirty-one".