971008 has 18 divisors (see below), whose sum is σ = 1938734. Its totient is φ = 485376.

The previous prime is 970999. The next prime is 971021. The reversal of 971008 is 800179.

It can be written as a sum of positive squares in only one way, i.e., 692224 + 278784 = 832^2 + 528^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

971008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1641 + ... + 2152.

2⁹⁷¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

971008 is a deficient number, since it is larger than the sum of its proper divisors (967726).

971008 is an equidigital number, since it uses as much as digits as its factorization.

971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 971008 is about 985.3973817704. The cubic root of 971008 is about 99.0241073149.

It can be divided in two parts, 9 and 71008, that added together give a palindrome (71017).

The spelling of 971008 in words is "nine hundred seventy-one thousand, eight".