9509967 has 20 divisors (see below), whose sum is σ = 14345760. Its totient is φ = 6277824.

The previous prime is 9509959. The next prime is 9509993. The reversal of 9509967 is 7699059.

It is not a de Polignac number, because 9509967 - 2³ = 9509959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9509947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8634 + ... + 9672.

It is an arithmetic number, because the mean of its divisors is an integer number (717288).

Almost surely, 2^9509967 is an apocalyptic number.

9509967 is a deficient number, since it is larger than the sum of its proper divisors (4835793).

9509967 is a wasteful number, since it uses less digits than its factorization.

9509967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9509967 is about 3083.8234385256. The cubic root of 9509967 is about 211.8652207876.

The spelling of 9509967 in words is "nine million, five hundred nine thousand, nine hundred sixty-seven".