971180 has 36 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 332640.

The previous prime is 971177. The next prime is 971197. The reversal of 971180 is 81179.

971180 is nontrivially palindromic in base 13.

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 11 ways as a sum of consecutive naturals, for example, 485 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

2⁹⁷¹¹⁸⁰ 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 971180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

971180 is an abundant number, since it is smaller than the sum of its proper divisors (1403668).

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

971180 is a wasteful number, since it uses less digits than its factorization.

971180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 971180 is about 985.4846523412. The cubic root of 971180 is about 99.0299538651.

The spelling of 971180 in words is "nine hundred seventy-one thousand, one hundred eighty".