4002667 has 16 divisors (see below), whose sum is σ = 4587840. Its totient is φ = 3469312.

The previous prime is 4002643. The next prime is 4002671. The reversal of 4002667 is 7662004.

It is a cyclic number.

It is not a de Polignac number, because 4002667 - 2¹⁵ = 3969899 is a prime.

It is a super-2 number, since 2×4002667² = 32042686225778, which contains 22 as substring.

It is a Duffinian number.

4002667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4002067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11163 + ... + 11515.

It is an arithmetic number, because the mean of its divisors is an integer number (286740).

Almost surely, 2^4002667 is an apocalyptic number.

4002667 is a deficient number, since it is larger than the sum of its proper divisors (585173).

4002667 is a wasteful number, since it uses less digits than its factorization.

4002667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4002667 is about 2000.6666388981. Note that the first 4 decimals coincide. The cubic root of 4002667 is about 158.7753773471.

The spelling of 4002667 in words is "four million, two thousand, six hundred sixty-seven".