971920 has 20 divisors (see below), whose sum is σ = 2259900. Its totient is φ = 388736.

The previous prime is 971917. The next prime is 971921. The reversal of 971920 is 29179.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 246016 = 852^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (971921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5995 + ... + 6154.

It is an arithmetic number, because the mean of its divisors is an integer number (112995).

2⁹⁷¹⁹²⁰ is an apocalyptic number.

It is an amenable number.

971920 is an abundant number, since it is smaller than the sum of its proper divisors (1287980).

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

971920 is a wasteful number, since it uses less digits than its factorization.

971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 971920 is about 985.8600306332. The cubic root of 971920 is about 99.0550997567.

It can be divided in two parts, 971 and 920, that added together give a triangular number (1891 = T₆₁).

The spelling of 971920 in words is "nine hundred seventy-one thousand, nine hundred twenty".