82701 has 10 divisors (see below), whose sum is σ = 123662. Its totient is φ = 55080.

The previous prime is 82699. The next prime is 82721. The reversal of 82701 is 10728.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 9801 = 270^2 + 99^2 .

It is not a de Polignac number, because 82701 - 2¹ = 82699 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82721) 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 9 ways as a sum of consecutive naturals, for example, 430 + ... + 591.

2⁸²⁷⁰¹ is an apocalyptic number.

82701 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82701 is a deficient number, since it is larger than the sum of its proper divisors (40961).

82701 is a wasteful number, since it uses less digits than its factorization.

82701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82701 is about 287.5778155561. The cubic root of 82701 is about 43.5682638057.

The spelling of 82701 in words is "eighty-two thousand, seven hundred one".