971972 has 12 divisors (see below), whose sum is σ = 1740816. Its totient is φ = 474600.

The previous prime is 971959. The next prime is 971977. The reversal of 971972 is 279179.

971972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (971977) by changing a digit.

971972 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 3 ways as a sum of consecutive naturals, for example, 2654 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (145068).

2⁹⁷¹⁹⁷² is an apocalyptic number.

It is an amenable number.

971972 is a deficient number, since it is larger than the sum of its proper divisors (768844).

971972 is a wasteful number, since it uses less digits than its factorization.

971972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5696 counting only the distinct ones).

The product of its digits is 7938, while the sum is 35.

The square root of 971972 is about 985.8864031926. The cubic root of 971972 is about 99.0568662852.

The spelling of 971972 in words is "nine hundred seventy-one thousand, nine hundred seventy-two".