971720 has 32 divisors (see below), whose sum is σ = 2316600. Its totient is φ = 365568.

The previous prime is 971713. The next prime is 971723. The reversal of 971720 is 27179.

It can be written as a sum of positive squares in 4 ways, for example, as 682276 + 289444 = 826^2 + 538^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 971720.

It is not an unprimeable number, because it can be changed into a prime (971723) by changing a digit.

971720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 35 + ... + 1394.

2⁹⁷¹⁷²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158300).

971720 is an abundant number, since it is smaller than the sum of its proper divisors (1344880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

971720 is a wasteful number, since it uses less digits than its factorization.

971720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 971720 is about 985.7585911368. The cubic root of 971720 is about 99.0483048288.

Adding to 971720 its reverse (27179), we get a palindrome (998899).

The spelling of 971720 in words is "nine hundred seventy-one thousand, seven hundred twenty".