1966985 has 16 divisors (see below), whose sum is σ = 2541456. Its totient is φ = 1456128.

The previous prime is 1966973. The next prime is 1966999. The reversal of 1966985 is 5896691.

It can be written as a sum of positive squares in 8 ways, for example, as 51529 + 1915456 = 227^2 + 1384^2 .

It is a cyclic number.

It is not a de Polignac number, because 1966985 - 2¹⁸ = 1704841 is a prime.

It is a Duffinian number.

It is a Curzon 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, 6047 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (158841).

2^1966985 is an apocalyptic number.

It is an amenable number.

1966985 is a deficient number, since it is larger than the sum of its proper divisors (574471).

1966985 is a wasteful number, since it uses less digits than its factorization.

1966985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its digits is 116640, while the sum is 44.

The square root of 1966985 is about 1402.4924242220. The cubic root of 1966985 is about 125.2949833311.

The spelling of 1966985 in words is "one million, nine hundred sixty-six thousand, nine hundred eighty-five".