971791 has 8 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 939840.

The previous prime is 971783. The next prime is 971821. The reversal of 971791 is 197179.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 971791 - 2³ = 971783 is a prime.

It is a Duffinian number.

971791 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971291) by changing a digit.

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, 5340 + ... + 5518.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

2⁹⁷¹⁷⁹¹ is an apocalyptic number.

971791 is a deficient number, since it is larger than the sum of its proper divisors (32609).

971791 is a wasteful number, since it uses less digits than its factorization.

971791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its digits is 3969, while the sum is 34.

The square root of 971791 is about 985.7946033531. The cubic root of 971791 is about 99.0507171349.

The spelling of 971791 in words is "nine hundred seventy-one thousand, seven hundred ninety-one".