4288167 has 32 divisors (see below), whose sum is σ = 7212800. Its totient is φ = 2496096.

The previous prime is 4288159. The next prime is 4288171. The reversal of 4288167 is 7618824.

It is not a de Polignac number, because 4288167 - 2³ = 4288159 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

4288167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6348 + ... + 6990.

It is an arithmetic number, because the mean of its divisors is an integer number (225400).

Almost surely, 2^4288167 is an apocalyptic number.

4288167 is a deficient number, since it is larger than the sum of its proper divisors (2924633).

4288167 is a wasteful number, since it uses less digits than its factorization.

4288167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4288167 is about 2070.7889800750. The cubic root of 4288167 is about 162.4640330655.

It can be divided in two parts, 42 and 88167, that added together give a square (88209 = 297²).

The spelling of 4288167 in words is "four million, two hundred eighty-eight thousand, one hundred sixty-seven".