82569135 has 32 divisors (see below), whose sum is σ = 145474560. Its totient is φ = 39657600.

The previous prime is 82569131. The next prime is 82569161. The reversal of 82569135 is 53196528.

It is not a de Polignac number, because 82569135 - 2² = 82569131 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 82569093 and 82569102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82569131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15690 + ... + 20280.

It is an arithmetic number, because the mean of its divisors is an integer number (4546080).

Almost surely, 2^82569135 is an apocalyptic number.

82569135 is a deficient number, since it is larger than the sum of its proper divisors (62905425).

82569135 is a wasteful number, since it uses less digits than its factorization.

82569135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719.

The product of its digits is 64800, while the sum is 39.

The square root of 82569135 is about 9086.7560218155. The cubic root of 82569135 is about 435.4509526151.

It can be divided in two parts, 8256 and 9135, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 82569135 in words is "eighty-two million, five hundred sixty-nine thousand, one hundred thirty-five".