8100001 has 24 divisors (see below), whose sum is σ = 10329984. Its totient is φ = 6215040.

The previous prime is 8099999. The next prime is 8100073. The reversal of 8100001 is 1000018.

8100001 = T₉₄ + T₉₅ + ... + T₃₆₆.

It is not a de Polignac number, because 8100001 - 2¹ = 8099999 is a prime.

It is a super-2 number, since 2×8100001² = 131220032400002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8100091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48420 + ... + 48586.

It is an arithmetic number, because the mean of its divisors is an integer number (430416).

Almost surely, 2^8100001 is an apocalyptic number.

It is an amenable number.

8100001 is a deficient number, since it is larger than the sum of its proper divisors (2229983).

8100001 is a wasteful number, since it uses less digits than its factorization.

8100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 8100001 is about 2846.0500698336. The cubic root of 8100001 is about 200.8298932893.

Adding to 8100001 its reverse (1000018), we get a palindrome (9100019).

It can be divided in two parts, 8 and 100001, that multiplied together give a palindrome (800008).

The spelling of 8100001 in words is "eight million, one hundred thousand, one".