8961567 has 16 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 5588352.

The previous prime is 8961527. The next prime is 8961583. The reversal of 8961567 is 7651698.

It is not a de Polignac number, because 8961567 - 2⁷ = 8961439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961527) 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 15 ways as a sum of consecutive naturals, for example, 9708 + ... + 10590.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^8961567 is an apocalyptic number.

8961567 is a deficient number, since it is larger than the sum of its proper divisors (3768033).

8961567 is a wasteful number, since it uses less digits than its factorization.

8961567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its digits is 90720, while the sum is 42.

The square root of 8961567 is about 2993.5876469547. The cubic root of 8961567 is about 207.7118714609.

The spelling of 8961567 in words is "eight million, nine hundred sixty-one thousand, five hundred sixty-seven".