82435756227 has 64 divisors (see below), whose sum is σ = 128499291648. Its totient is φ = 46455552000.

The previous prime is 82435756217. The next prime is 82435756237. The reversal of 82435756227 is 72265753428.

It is an interprime number because it is at equal distance from previous prime (82435756217) and next prime (82435756237).

It is not a de Polignac number, because 82435756227 - 2¹⁵ = 82435723459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 82435756227.

It is not an unprimeable number, because it can be changed into a prime (82435756217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15939352 + ... + 15944522.

It is an arithmetic number, because the mean of its divisors is an integer number (2007801432).

Almost surely, 2^82435756227 is an apocalyptic number.

82435756227 is a deficient number, since it is larger than the sum of its proper divisors (46063535421).

82435756227 is a wasteful number, since it uses less digits than its factorization.

82435756227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540.

The product of its digits is 5644800, while the sum is 51.

The spelling of 82435756227 in words is "eighty-two billion, four hundred thirty-five million, seven hundred fifty-six thousand, two hundred twenty-seven".