971672 has 16 divisors (see below), whose sum is σ = 1962240. Its totient is φ = 448416.

The previous prime is 971653. The next prime is 971683. The reversal of 971672 is 276179.

It is a congruent number.

It is an unprimeable number.

971672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4568 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

2⁹⁷¹⁶⁷² is an apocalyptic number.

It is an amenable number.

971672 is an abundant number, since it is smaller than the sum of its proper divisors (990568).

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

971672 is a wasteful number, since it uses less digits than its factorization.

971672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9358 counting only the distinct ones).

The product of its digits is 5292, while the sum is 32.

The square root of 971672 is about 985.7342441044. The cubic root of 971672 is about 99.0466739073.

The spelling of 971672 in words is "nine hundred seventy-one thousand, six hundred seventy-two".