1971441 has 12 divisors (see below), whose sum is σ = 2902068. Its totient is φ = 1289184.

The previous prime is 1971433. The next prime is 1971443. The reversal of 1971441 is 1441791.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 531441 = 1200^2 + 729^2 .

It is not a de Polignac number, because 1971441 - 2³ = 1971433 is a prime.

1971441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1971443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (241839).

2^1971441 is an apocalyptic number.

It is an amenable number.

1971441 is a deficient number, since it is larger than the sum of its proper divisors (930627).

1971441 is a wasteful number, since it uses less digits than its factorization.

1971441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4189 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1971441 is about 1404.0801259187. The cubic root of 1971441 is about 125.3895262270.

The spelling of 1971441 in words is "one million, nine hundred seventy-one thousand, four hundred forty-one".