82077635 has 16 divisors (see below), whose sum is σ = 100499520. Its totient is φ = 64333440.

The previous prime is 82077631. The next prime is 82077637. The reversal of 82077635 is 53677028.

It is a happy number.

It is not a de Polignac number, because 82077635 - 2² = 82077631 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82077631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133589 + ... + 134201.

It is an arithmetic number, because the mean of its divisors is an integer number (6281220).

Almost surely, 2^82077635 is an apocalyptic number.

82077635 is a deficient number, since it is larger than the sum of its proper divisors (18421885).

82077635 is a wasteful number, since it uses less digits than its factorization.

82077635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 82077635 is about 9059.6707997587. The cubic root of 82077635 is about 434.5852125740.

The spelling of 82077635 in words is "eighty-two million, seventy-seven thousand, six hundred thirty-five".