2966166 has 96 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 789264.

The previous prime is 2966153. The next prime is 2966189. The reversal of 2966166 is 6616692.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2966166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50245 + ... + 50303.

It is an arithmetic number, because the mean of its divisors is an integer number (85500).

2^2966166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104000).

2966166 is an abundant number, since it is smaller than the sum of its proper divisors (5241834).

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

2966166 is a wasteful number, since it uses less digits than its factorization.

2966166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2966166 is about 1722.2560785203. The cubic root of 2966166 is about 143.6807162028.

The spelling of 2966166 in words is "two million, nine hundred sixty-six thousand, one hundred sixty-six".