971829009 has 20 divisors (see below), whose sum is σ = 1453200804. Its totient is φ = 647236224.

The previous prime is 971828941. The next prime is 971829017. The reversal of 971829009 is 900928179.

It can be written as a sum of positive squares in 2 ways, for example, as 653313600 + 318515409 = 25560^2 + 17847^2 .

It is a de Polignac number, because none of the positive numbers 2^k-971829009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (971829059) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83389 + ... + 94325.

Almost surely, 2^971829009 is an apocalyptic number.

It is an amenable number.

971829009 is a deficient number, since it is larger than the sum of its proper divisors (481371795).

971829009 is a wasteful number, since it uses less digits than its factorization.

971829009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12046 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 971829009 is about 31174.1721461854. The cubic root of 971829009 is about 990.5200848584.

The spelling of 971829009 in words is "nine hundred seventy-one million, eight hundred twenty-nine thousand, nine".