971856 has 60 divisors (see below), whose sum is σ = 2887092. Its totient is φ = 304128.

The previous prime is 971851. The next prime is 971857. The reversal of 971856 is 658179.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 266256 = 840^2 + 516^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 971856.

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 971856.

It is not an unprimeable number, because it can be changed into a prime (971851) by changing a digit.

971856 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, 2250 + ... + 2646.

2⁹⁷¹⁸⁵⁶ 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 971856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443546).

971856 is an abundant number, since it is smaller than the sum of its proper divisors (1915236).

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

971856 is a wasteful number, since it uses less digits than its factorization.

971856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 971856 is about 985.8275711300. The cubic root of 971856 is about 99.0529254812.

It can be divided in two parts, 97 and 1856, that added together give a triangular number (1953 = T₆₂).

The spelling of 971856 in words is "nine hundred seventy-one thousand, eight hundred fifty-six".