9849967009 has 9 divisors (see below), whose sum is σ = 10020247731. Its totient is φ = 9682537320.

The previous prime is 9849967007. The next prime is 9849967013. The reversal of 9849967009 is 9007699489.

The square root of 9849967009 is 99247.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 320302609 + 9529664400 = 17897^2 + 97620^2 .

It is not a de Polignac number, because 9849967009 - 2¹ = 9849967007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9849967003) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6053254 + ... + 6054880.

It is an arithmetic number, because the mean of its divisors is an integer number (1113360859).

Almost surely, 2^9849967009 is an apocalyptic number.

9849967009 is the 99247-th square number.

9849967009 is the 49624-th centered octagonal number.

It is an amenable number.

9849967009 is a deficient number, since it is larger than the sum of its proper divisors (170280722).

9849967009 is an frugal number, since it uses more digits than its factorization.

9849967009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 61.

The cubic root of 9849967009 is about 2143.6058091086.

The spelling of 9849967009 in words is "nine billion, eight hundred forty-nine million, nine hundred sixty-seven thousand, nine".