971712 has 84 divisors (see below), whose sum is σ = 3196336. Its totient is φ = 276480.

The previous prime is 971699. The next prime is 971713. The reversal of 971712 is 217179.

971712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971713) by changing a digit.

971712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3912 + ... + 4152.

2⁹⁷¹⁷¹² 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 971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598168).

971712 is an abundant number, since it is smaller than the sum of its proper divisors (2224624).

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

971712 is a wasteful number, since it uses less digits than its factorization.

971712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 971712 is about 985.7545333398. The cubic root of 971712 is about 99.0480330123.

The spelling of 971712 in words is "nine hundred seventy-one thousand, seven hundred twelve".