82707 has 8 divisors (see below), whose sum is σ = 116160. Its totient is φ = 52200.

The previous prime is 82699. The next prime is 82721. The reversal of 82707 is 70728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82707 - 2³ = 82699 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

82707 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2⁸²⁷⁰⁷ is an apocalyptic number.

82707 is a deficient number, since it is larger than the sum of its proper divisors (33453).

82707 is a wasteful number, since it uses less digits than its factorization.

82707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 82707 is about 287.5882473259. The cubic root of 82707 is about 43.5693174135.

The spelling of 82707 in words is "eighty-two thousand, seven hundred seven".