4166112 has 24 divisors (see below), whose sum is σ = 10936296. Its totient is φ = 1388672.

The previous prime is 4166101. The next prime is 4166119. The reversal of 4166112 is 2116614.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21603 + ... + 21794.

It is an arithmetic number, because the mean of its divisors is an integer number (455679).

Almost surely, 2^4166112 is an apocalyptic number.

It is an amenable number.

4166112 is an abundant number, since it is smaller than the sum of its proper divisors (6770184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4166112 is a wasteful number, since it uses less digits than its factorization.

4166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43410 (or 43402 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 4166112 is about 2041.1055827664. The cubic root of 4166112 is about 160.9077567870.

It can be divided in two parts, 4166 and 112, that added together give a triangular number (4278 = T₉₂).

The spelling of 4166112 in words is "four million, one hundred sixty-six thousand, one hundred twelve".