971001 has 8 divisors (see below), whose sum is σ = 1438560. Its totient is φ = 647316.

The previous prime is 970999. The next prime is 971021. The reversal of 971001 is 100179.

971001 = T₁₈ + T₁₉ + ... + T₁₇₉.

It is not a de Polignac number, because 971001 - 2¹ = 970999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (971021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17955 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (179820).

2⁹⁷¹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

971001 is a deficient number, since it is larger than the sum of its proper divisors (467559).

971001 is a wasteful number, since it uses less digits than its factorization.

971001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35972 (or 35966 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 971001 is about 985.3938298975. The cubic root of 971001 is about 99.0238693593.

The spelling of 971001 in words is "nine hundred seventy-one thousand, one".