82135637 has 8 divisors (see below), whose sum is σ = 84066336. Its totient is φ = 80219152.

The previous prime is 82135631. The next prime is 82135663. The reversal of 82135637 is 73653128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82135637 - 2⁴ = 82135621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82135597 and 82135606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82135631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8618 + ... + 15444.

It is an arithmetic number, because the mean of its divisors is an integer number (10508292).

Almost surely, 2^82135637 is an apocalyptic number.

It is an amenable number.

82135637 is a deficient number, since it is larger than the sum of its proper divisors (1930699).

82135637 is a wasteful number, since it uses less digits than its factorization.

82135637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107.

The product of its digits is 30240, while the sum is 35.

The square root of 82135637 is about 9062.8713441161. The cubic root of 82135637 is about 434.6875582624.

The spelling of 82135637 in words is "eighty-two million, one hundred thirty-five thousand, six hundred thirty-seven".