82006377 has 16 divisors (see below), whose sum is σ = 113111040. Its totient is φ = 52794000.

The previous prime is 82006373. The next prime is 82006381. The reversal of 82006377 is 77360028.

It is an interprime number because it is at equal distance from previous prime (82006373) and next prime (82006381).

It is not a de Polignac number, because 82006377 - 2² = 82006373 is a prime.

It is a super-2 number, since 2×82006377² = 13450091737332258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82006373) 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 15 ways as a sum of consecutive naturals, for example, 77502 + ... + 78552.

It is an arithmetic number, because the mean of its divisors is an integer number (7069440).

Almost surely, 2^82006377 is an apocalyptic number.

It is an amenable number.

82006377 is a deficient number, since it is larger than the sum of its proper divisors (31104663).

82006377 is a wasteful number, since it uses less digits than its factorization.

82006377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 82006377 is about 9055.7372422128. The cubic root of 82006377 is about 434.4594103819.

The spelling of 82006377 in words is "eighty-two million, six thousand, three hundred seventy-seven".