971608 has 32 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 432000.

The previous prime is 971591. The next prime is 971639. The reversal of 971608 is 806179.

It is a self number, because there is not a number n which added to its sum of digits gives 971608.

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, 5278 + ... + 5458.

2⁹⁷¹⁶⁰⁸ 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 971608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

971608 is an abundant number, since it is smaller than the sum of its proper divisors (1059512).

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

971608 is a wasteful number, since it uses less digits than its factorization.

971608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 971608 is about 985.7017804590. The cubic root of 971608 is about 99.0444992619.

It can be divided in two parts, 9 and 71608, that added together give a palindrome (71617).

The spelling of 971608 in words is "nine hundred seventy-one thousand, six hundred eight".