971417007 has 24 divisors (see below), whose sum is σ = 1542423168. Its totient is φ = 584235600.

The previous prime is 971416997. The next prime is 971417011. The reversal of 971417007 is 700714179.

It is not a de Polignac number, because 971417007 - 2¹⁶ = 971351471 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971417087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24483 + ... + 50420.

It is an arithmetic number, because the mean of its divisors is an integer number (64267632).

Almost surely, 2^971417007 is an apocalyptic number.

971417007 is a deficient number, since it is larger than the sum of its proper divisors (571006161).

971417007 is a wasteful number, since it uses less digits than its factorization.

971417007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75051 (or 75048 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 971417007 is about 31167.5633792570. The cubic root of 971417007 is about 990.3800897441.

The spelling of 971417007 in words is "nine hundred seventy-one million, four hundred seventeen thousand, seven".