4181001167 has 16 divisors (see below), whose sum is σ = 5034677760. Its totient is φ = 3391790112.

The previous prime is 4181001161. The next prime is 4181001169. The reversal of 4181001167 is 7611001814.

It is a cyclic number.

It is not a de Polignac number, because 4181001167 - 2¹⁴ = 4180984783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181001161) 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, 126593 + ... + 156165.

It is an arithmetic number, because the mean of its divisors is an integer number (314667360).

Almost surely, 2^4181001167 is an apocalyptic number.

4181001167 is a deficient number, since it is larger than the sum of its proper divisors (853676593).

4181001167 is a wasteful number, since it uses less digits than its factorization.

4181001167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30662.

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 4181001167 is about 64660.6616653433. The cubic root of 4181001167 is about 1610.9921699735.

The spelling of 4181001167 in words is "four billion, one hundred eighty-one million, one thousand, one hundred sixty-seven".