4126167 has 8 divisors (see below), whose sum is σ = 6112880. Its totient is φ = 2750760.

The previous prime is 4126159. The next prime is 4126201. The reversal of 4126167 is 7616214.

4126167 is a `hidden beast` number, since 41 + 2 + 616 + 7 = 666.

It is not a de Polignac number, because 4126167 - 2³ = 4126159 is a prime.

It is a super-2 number, since 2×4126167² = 34050508223778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 152821 = 4126167 / (4 + 1 + 2 + 6 + 1 + 6 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4126167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76384 + ... + 76437.

It is an arithmetic number, because the mean of its divisors is an integer number (764110).

Almost surely, 2^4126167 is an apocalyptic number.

4126167 is a deficient number, since it is larger than the sum of its proper divisors (1986713).

4126167 is a wasteful number, since it uses less digits than its factorization.

4126167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152830 (or 152824 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4126167 is about 2031.2968763822. The cubic root of 4126167 is about 160.3918390841.

It can be divided in two parts, 41261 and 67, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 4126167 in words is "four million, one hundred twenty-six thousand, one hundred sixty-seven".