82712001 has 4 divisors (see below), whose sum is σ = 110282672. Its totient is φ = 55141332.

The previous prime is 82711939. The next prime is 82712017. The reversal of 82712001 is 10021728.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 82712001 - 2⁷ = 82711873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82714001) 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 3 ways as a sum of consecutive naturals, for example, 13785331 + ... + 13785336.

It is an arithmetic number, because the mean of its divisors is an integer number (27570668).

Almost surely, 2^82712001 is an apocalyptic number.

It is an amenable number.

82712001 is a deficient number, since it is larger than the sum of its proper divisors (27570671).

82712001 is a wasteful number, since it uses less digits than its factorization.

82712001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27570670.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 82712001 is about 9094.6138455682. The cubic root of 82712001 is about 435.7019555667.

Adding to 82712001 its reverse (10021728), we get a palindrome (92733729).

The spelling of 82712001 in words is "eighty-two million, seven hundred twelve thousand, one".