2005966 has 16 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 920320.

The previous prime is 2005957. The next prime is 2005981. The reversal of 2005966 is 6695002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 2113.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

2^2005966 is an apocalyptic number.

2005966 is a deficient number, since it is larger than the sum of its proper divisors (1259954).

2005966 is a wasteful number, since it uses less digits than its factorization.

2005966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2005966 is about 1416.3212912330. The cubic root of 2005966 is about 126.1172587770.

It can be divided in two parts, 200596 and 6, that multiplied together give a triangular number (1203576 = T₁₅₅₁).

The spelling of 2005966 in words is "two million, five thousand, nine hundred sixty-six".