82142001 has 12 divisors (see below), whose sum is σ = 119104128. Its totient is φ = 54551544.

The previous prime is 82141981. The next prime is 82142003. The reversal of 82142001 is 10024128.

It is not a de Polignac number, because 82142001 - 2¹³ = 82133809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82142003) 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 11 ways as a sum of consecutive naturals, for example, 14985 + ... + 19718.

It is an arithmetic number, because the mean of its divisors is an integer number (9925344).

Almost surely, 2^82142001 is an apocalyptic number.

It is an amenable number.

82142001 is a deficient number, since it is larger than the sum of its proper divisors (36962127).

82142001 is a wasteful number, since it uses less digits than its factorization.

82142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34972 (or 34969 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82142001 is about 9063.2224401699. Note that the first 3 decimals coincide. The cubic root of 82142001 is about 434.6987847340.

Adding to 82142001 its reverse (10024128), we get a palindrome (92166129).

The spelling of 82142001 in words is "eighty-two million, one hundred forty-two thousand, one".