10007001 has 24 divisors (see below), whose sum is σ = 15612480. Its totient is φ = 6157536.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10007001 is 10070001.

10007001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10007001 - 2⁶ = 10006937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10007021) 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, 5170 + ... + 6836.

It is an arithmetic number, because the mean of its divisors is an integer number (650520).

Almost surely, 2^10007001 is an apocalyptic number.

10007001 is the 2001-st heptagonal number.

It is an amenable number.

10007001 is a deficient number, since it is larger than the sum of its proper divisors (5605479).

10007001 is a wasteful number, since it uses less digits than its factorization.

10007001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10007001 is about 3163.3844217863. The cubic root of 10007001 is about 215.4937345989.

Adding to 10007001 its reverse (10070001), we get a palindrome (20077002).

It can be divided in two parts, 1000 and 7001, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 10007001 in words is "ten million, seven thousand, one".