82067766 has 24 divisors (see below), whose sum is σ = 180415032. Its totient is φ = 24868800.

The previous prime is 82067731. The next prime is 82067801. The reversal of 82067766 is 66776028.

It is an interprime number because it is at equal distance from previous prime (82067731) and next prime (82067801).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55795 + ... + 57246.

It is an arithmetic number, because the mean of its divisors is an integer number (7517293).

Almost surely, 2^82067766 is an apocalyptic number.

82067766 is an abundant number, since it is smaller than the sum of its proper divisors (98347266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82067766 is a wasteful number, since it uses less digits than its factorization.

82067766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113068 (or 113057 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 82067766 is about 9059.1261167952. The cubic root of 82067766 is about 434.5677937267.

It can be divided in two parts, 820 and 67766, that added together give a palindrome (68586).

The spelling of 82067766 in words is "eighty-two million, sixty-seven thousand, seven hundred sixty-six".