971768 has 48 divisors (see below), whose sum is σ = 2209320. Its totient is φ = 399168.

The previous prime is 971767. The next prime is 971783. The reversal of 971768 is 867179.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 971768.

It is not an unprimeable number, because it can be changed into a prime (971767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14471 + ... + 14537.

2⁹⁷¹⁷⁶⁸ is an apocalyptic number.

971768 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104660).

971768 is an abundant number, since it is smaller than the sum of its proper divisors (1237552).

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

971768 is a wasteful number, since it uses less digits than its factorization.

971768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 21168, while the sum is 38.

The square root of 971768 is about 985.7829375679. The cubic root of 971768 is about 99.0499356965.

The spelling of 971768 in words is "nine hundred seventy-one thousand, seven hundred sixty-eight".