8972001 has 24 divisors (see below), whose sum is σ = 13703040. Its totient is φ = 5645376.

The previous prime is 8971979. The next prime is 8972023. The reversal of 8972001 is 1002798.

It is an interprime number because it is at equal distance from previous prime (8971979) and next prime (8972023).

It is not a de Polignac number, because 8972001 - 2⁵ = 8971969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8972081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18180 + ... + 18666.

It is an arithmetic number, because the mean of its divisors is an integer number (570960).

Almost surely, 2^8972001 is an apocalyptic number.

It is an amenable number.

8972001 is a deficient number, since it is larger than the sum of its proper divisors (4731039).

8972001 is a wasteful number, since it uses less digits than its factorization.

8972001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8972001 is about 2995.3298649731. The cubic root of 8972001 is about 207.7924535396.

Adding to 8972001 its reverse (1002798), we get a palindrome (9974799).

The spelling of 8972001 in words is "eight million, nine hundred seventy-two thousand, one".