10001067 has 16 divisors (see below), whose sum is σ = 14005248. Its totient is φ = 6336000.

The previous prime is 10001053. The next prime is 10001081. The reversal of 10001067 is 76010001.

10001067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10001053) and next prime (10001081).

It is not a de Polignac number, because 10001067 - 2¹⁴ = 9984683 is a prime.

It is a super-2 number, since 2×10001067² = 200042682276978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12942 + ... + 13692.

It is an arithmetic number, because the mean of its divisors is an integer number (875328).

Almost surely, 2^10001067 is an apocalyptic number.

10001067 is a deficient number, since it is larger than the sum of its proper divisors (4004181).

10001067 is a wasteful number, since it uses less digits than its factorization.

10001067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10001067 is about 3162.4463631815. The cubic root of 10001067 is about 215.4511313367.

Adding to 10001067 its reverse (76010001), we get a palindrome (86011068).

The spelling of 10001067 in words is "ten million, one thousand, sixty-seven".