971687268 has 36 divisors (see below), whose sum is σ = 2459899260. Its totient is φ = 323409216.

The previous prime is 971687267. The next prime is 971687293. The reversal of 971687268 is 862786179.

It can be written as a sum of positive squares in 2 ways, for example, as 826677504 + 145009764 = 28752^2 + 12042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×971687268² = 1888352293586607648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (971687263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4438 + ... + 44306.

It is an arithmetic number, because the mean of its divisors is an integer number (68330535).

Almost surely, 2^971687268 is an apocalyptic number.

It is an amenable number.

971687268 is an abundant number, since it is smaller than the sum of its proper divisors (1488211992).

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

971687268 is a wasteful number, since it uses less digits than its factorization.

971687268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40556 (or 40551 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 971687268 is about 31171.8986909684. The cubic root of 971687268 is about 990.4719268209.

The spelling of 971687268 in words is "nine hundred seventy-one million, six hundred eighty-seven thousand, two hundred sixty-eight".