1966124281 has 27 divisors (see below), whose sum is σ = 2254420623. Its totient is φ = 1713336240.

The previous prime is 1966124267. The next prime is 1966124287. The reversal of 1966124281 is 1824216691.

The square root of 1966124281 is 44341.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1030987881 + 935136400 = 32109^2 + 30580^2 .

It is not a de Polignac number, because 1966124281 - 2⁹ = 1966123769 is a prime.

It is a super-2 number, since 2×1966124281² = 7731289376675533922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1966124287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14144710 + ... + 14144848.

Almost surely, 2^1966124281 is an apocalyptic number.

1966124281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1966124281 is the 44341-st square number.

1966124281 is the 22171-st centered octagonal number.

It is an amenable number.

1966124281 is a deficient number, since it is larger than the sum of its proper divisors (288296342).

1966124281 is an equidigital number, since it uses as much as digits as its factorization.

1966124281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The cubic root of 1966124281 is about 1252.7670501736.

The spelling of 1966124281 in words is "one billion, nine hundred sixty-six million, one hundred twenty-four thousand, two hundred eighty-one".