1972159281 has 27 divisors (see below), whose sum is σ = 2896214347. Its totient is φ = 1293190080.

The previous prime is 1972159253. The next prime is 1972159289. The reversal of 1972159281 is 1829512791.

The square root of 1972159281 is 44409.

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., 34751025 + 1937408256 = 5895^2 + 44016^2 .

It is not a de Polignac number, because 1972159281 - 2²³ = 1963770673 is a prime.

It is a super-2 number, since 2×1972159281² = 7778824459268873922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1972159289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15054586 + ... + 15054716.

Almost surely, 2^1972159281 is an apocalyptic number.

1972159281 is the 44409-th square number.

1972159281 is the 22205-th centered octagonal number.

It is an amenable number.

1972159281 is a deficient number, since it is larger than the sum of its proper divisors (924055066).

1972159281 is an equidigital number, since it uses as much as digits as its factorization.

1972159281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The cubic root of 1972159281 is about 1254.0475264910.

The spelling of 1972159281 in words is "one billion, nine hundred seventy-two million, one hundred fifty-nine thousand, two hundred eighty-one".