82385135 has 16 divisors (see below), whose sum is σ = 116631552. Its totient is φ = 54669600.

The previous prime is 82385129. The next prime is 82385141. The reversal of 82385135 is 53158328.

It is an interprime number because it is at equal distance from previous prime (82385129) and next prime (82385141).

It is not a de Polignac number, because 82385135 - 2⁸ = 82384879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82385095 and 82385104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36881 + ... + 39050.

It is an arithmetic number, because the mean of its divisors is an integer number (7289472).

Almost surely, 2^82385135 is an apocalyptic number.

82385135 is a deficient number, since it is larger than the sum of its proper divisors (34246417).

82385135 is a wasteful number, since it uses less digits than its factorization.

82385135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75974.

The product of its digits is 28800, while the sum is 35.

The square root of 82385135 is about 9076.6257496936. The cubic root of 82385135 is about 435.1272539135.

It can be divided in two parts, 823 and 85135, that added together give a palindrome (85958).

The spelling of 82385135 in words is "eighty-two million, three hundred eighty-five thousand, one hundred thirty-five".