4205166 has 32 divisors (see below), whose sum is σ = 9780480. Its totient is φ = 1180416.

The previous prime is 4205153. The next prime is 4205177. The reversal of 4205166 is 6615024.

4205166 is a modest number, since divided by 5166 gives 42 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630 + ... + 3326.

It is an arithmetic number, because the mean of its divisors is an integer number (305640).

Almost surely, 2^4205166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890240).

4205166 is an abundant number, since it is smaller than the sum of its proper divisors (5575314).

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

4205166 is a wasteful number, since it uses less digits than its factorization.

4205166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4205166 is about 2050.6501408090. The cubic root of 4205166 is about 161.4089880737.

It can be divided in two parts, 4205 and 166, that added together give a triangular number (4371 = T₉₃).

The spelling of 4205166 in words is "four million, two hundred five thousand, one hundred sixty-six".