971543160 has 384 divisors, whose sum is σ = 3805401600. Its totient is φ = 218350080.

The previous prime is 971543119. The next prime is 971543213. The reversal of 971543160 is 61345179.

971543160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×971543160³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7416295 + ... + 7416425.

It is an arithmetic number, because the mean of its divisors is an integer number (9909900).

Almost surely, 2^971543160 is an apocalyptic number.

971543160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971543160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902700800).

971543160 is an abundant number, since it is smaller than the sum of its proper divisors (2833858440).

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

971543160 is a wasteful number, since it uses less digits than its factorization.

971543160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 971543160 is about 31169.5871002489. The cubic root of 971543160 is about 990.4229597681.

The spelling of 971543160 in words is "nine hundred seventy-one million, five hundred forty-three thousand, one hundred sixty".