971631241 has 27 divisors (see below), whose sum is σ = 1165054293. Its totient is φ = 807952320.

The previous prime is 971631229. The next prime is 971631247. The reversal of 971631241 is 142136179.

The square root of 971631241 is 31171.

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

It can be written as a sum of positive squares in 4 ways, for example, as 253605625 + 718025616 = 15925^2 + 26796^2 .

It is not a de Polignac number, because 971631241 - 2²⁵ = 938076809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 971631197 and 971631206.

It is not an unprimeable number, because it can be changed into a prime (971631247) 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, 13309981 + ... + 13310053.

It is an arithmetic number, because the mean of its divisors is an integer number (43150159).

Almost surely, 2^971631241 is an apocalyptic number.

971631241 is the 31171-st square number.

971631241 is the 15586-th centered octagonal number.

It is an amenable number.

971631241 is a deficient number, since it is larger than the sum of its proper divisors (193423052).

971631241 is an frugal number, since it uses more digits than its factorization.

971631241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The cubic root of 971631241 is about 990.4528897504.

The spelling of 971631241 in words is "nine hundred seventy-one million, six hundred thirty-one thousand, two hundred forty-one".