8961267 has 12 divisors (see below), whose sum is σ = 13899336. Its totient is φ = 5120640.

The previous prime is 8961257. The next prime is 8961269. The reversal of 8961267 is 7621698.

It is not a de Polignac number, because 8961267 - 2¹⁰ = 8960243 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

8961267 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8961269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30334 + ... + 30627.

It is an arithmetic number, because the mean of its divisors is an integer number (1158278).

Almost surely, 2^8961267 is an apocalyptic number.

8961267 is a deficient number, since it is larger than the sum of its proper divisors (4938069).

8961267 is a wasteful number, since it uses less digits than its factorization.

8961267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60978 (or 60971 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 8961267 is about 2993.5375394339. The cubic root of 8961267 is about 207.7095536275.

The spelling of 8961267 in words is "eight million, nine hundred sixty-one thousand, two hundred sixty-seven".