9967505 has 8 divisors (see below), whose sum is σ = 12071400. Its totient is φ = 7900416.

The previous prime is 9967501. The next prime is 9967513. The reversal of 9967505 is 5057699.

It can be written as a sum of positive squares in 4 ways, for example, as 4695889 + 5271616 = 2167^2 + 2296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9967505 - 2² = 9967501 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9967501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8600 + ... + 9689.

It is an arithmetic number, because the mean of its divisors is an integer number (1508925).

Almost surely, 2^9967505 is an apocalyptic number.

It is an amenable number.

9967505 is a deficient number, since it is larger than the sum of its proper divisors (2103895).

9967505 is a wasteful number, since it uses less digits than its factorization.

9967505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403.

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 9967505 is about 3157.1355688345. The cubic root of 9967505 is about 215.2098545926.

The spelling of 9967505 in words is "nine million, nine hundred sixty-seven thousand, five hundred five".