971992 has 32 divisors (see below), whose sum is σ = 2207520. Its totient is φ = 391680.

The previous prime is 971989. The next prime is 972001. The reversal of 971992 is 299179.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 442 + ... + 1462.

It is an arithmetic number, because the mean of its divisors is an integer number (68985).

2⁹⁷¹⁹⁹² 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 971992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103760).

971992 is an abundant number, since it is smaller than the sum of its proper divisors (1235528).

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

971992 is a wasteful number, since it uses less digits than its factorization.

971992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its digits is 10206, while the sum is 37.

The square root of 971992 is about 985.8965462968. The cubic root of 971992 is about 99.0575457025.

The spelling of 971992 in words is "nine hundred seventy-one thousand, nine hundred ninety-two".