10001167 has 8 divisors (see below), whose sum is σ = 10934352. Its totient is φ = 9072000.

The previous prime is 10001119. The next prime is 10001203. The reversal of 10001167 is 76110001.

10001167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001167 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001107) 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, 7063 + ... + 8359.

It is an arithmetic number, because the mean of its divisors is an integer number (1366794).

Almost surely, 2^10001167 is an apocalyptic number.

10001167 is a deficient number, since it is larger than the sum of its proper divisors (933185).

10001167 is a wasteful number, since it uses less digits than its factorization.

10001167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 10001167 is about 3162.4621736868. The cubic root of 10001167 is about 215.4518494281.

Adding to 10001167 its reverse (76110001), we get a palindrome (86111168).

The spelling of 10001167 in words is "ten million, one thousand, one hundred sixty-seven".