1972841 has 8 divisors (see below), whose sum is σ = 2198280. Its totient is φ = 1757952.

The previous prime is 1972829. The next prime is 1972847. The reversal of 1972841 is 1482791.

It can be written as a sum of positive squares in 4 ways, for example, as 462400 + 1510441 = 680^2 + 1229^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1972841 - 2⁶ = 1972777 is a prime.

It is a super-2 number, since 2×1972841² = 7784203222562, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1972798 and 1972807.

It is not an unprimeable number, because it can be changed into a prime (1972847) 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 7 ways as a sum of consecutive naturals, for example, 2240 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (274785).

2^1972841 is an apocalyptic number.

It is an amenable number.

1972841 is a deficient number, since it is larger than the sum of its proper divisors (225439).

1972841 is a wasteful number, since it uses less digits than its factorization.

1972841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275.

The product of its digits is 4032, while the sum is 32.

The square root of 1972841 is about 1404.5785844872. The cubic root of 1972841 is about 125.4192005954.

The spelling of 1972841 in words is "one million, nine hundred seventy-two thousand, eight hundred forty-one".