971321 has 4 divisors (see below), whose sum is σ = 1046052. Its totient is φ = 896592.

The previous prime is 971309. The next prime is 971339. The reversal of 971321 is 123179.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123179 = 7 ⋅17597.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 657721 = 560^2 + 811^2 .

It is a cyclic number.

It is not a de Polignac number, because 971321 - 2¹⁰ = 970297 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971321.

It is not an unprimeable number, because it can be changed into a prime (971371) 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 3 ways as a sum of consecutive naturals, for example, 37346 + ... + 37371.

It is an arithmetic number, because the mean of its divisors is an integer number (261513).

2⁹⁷¹³²¹ is an apocalyptic number.

It is an amenable number.

971321 is a deficient number, since it is larger than the sum of its proper divisors (74731).

971321 is a wasteful number, since it uses less digits than its factorization.

971321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74730.

The product of its digits is 378, while the sum is 23.

The square root of 971321 is about 985.5561881496. The cubic root of 971321 is about 99.0347461617.

The spelling of 971321 in words is "nine hundred seventy-one thousand, three hundred twenty-one".