82077633 has 24 divisors (see below), whose sum is σ = 131167296. Its totient is φ = 49039200.

The previous prime is 82077631. The next prime is 82077637. The reversal of 82077633 is 33677028.

It is not a de Polignac number, because 82077633 - 2¹ = 82077631 is a prime.

It is a super-3 number, since 3×82077633³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82077631) 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 23 ways as a sum of consecutive naturals, for example, 1191 + ... + 12867.

It is an arithmetic number, because the mean of its divisors is an integer number (5465304).

Almost surely, 2^82077633 is an apocalyptic number.

It is an amenable number.

82077633 is a deficient number, since it is larger than the sum of its proper divisors (49089663).

82077633 is a wasteful number, since it uses less digits than its factorization.

82077633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 82077633 is about 9059.6706893794. The cubic root of 82077633 is about 434.5852090441.

The spelling of 82077633 in words is "eighty-two million, seventy-seven thousand, six hundred thirty-three".