82100001 has 8 divisors (see below), whose sum is σ = 109702944. Its totient is φ = 54615200.

The previous prime is 82099973. The next prime is 82100009. The reversal of 82100001 is 10000128.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 82100001 - 2¹⁰ = 82098977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82100001.

It is not an unprimeable number, because it can be changed into a prime (82100009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27900 + ... + 30701.

It is an arithmetic number, because the mean of its divisors is an integer number (13712868).

Almost surely, 2^82100001 is an apocalyptic number.

It is an amenable number.

82100001 is a deficient number, since it is larger than the sum of its proper divisors (27602943).

82100001 is a wasteful number, since it uses less digits than its factorization.

82100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59071.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 82100001 is about 9060.9050872416. The cubic root of 82100001 is about 434.6246835379.

Adding to 82100001 its reverse (10000128), we get a palindrome (92100129).

The spelling of 82100001 in words is "eighty-two million, one hundred thousand, one".