11997567 has 12 divisors (see below), whose sum is σ = 17539704. Its totient is φ = 7901520.

The previous prime is 11997553. The next prime is 11997577. The reversal of 11997567 is 76579911.

It is not a de Polignac number, because 11997567 - 2⁴ = 11997551 is a prime.

It is a super-2 number, since 2×11997567² = 287883227838978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11997547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7284 + ... + 8777.

It is an arithmetic number, because the mean of its divisors is an integer number (1461642).

Almost surely, 2^11997567 is an apocalyptic number.

11997567 is a deficient number, since it is larger than the sum of its proper divisors (5542137).

11997567 is a wasteful number, since it uses less digits than its factorization.

11997567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16147 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 11997567 is about 3463.7504240346. The cubic root of 11997567 is about 228.9273747440.

It can be divided in two parts, 11 and 997567, that added together give a triangular number (997578 = T₁₄₁₂).

The spelling of 11997567 in words is "eleven million, nine hundred ninety-seven thousand, five hundred sixty-seven".