11967985 has 8 divisors (see below), whose sum is σ = 14558760. Its totient is φ = 9442944.

The previous prime is 11967979. The next prime is 11967997. The reversal of 11967985 is 58976911.

11967985 = T₂₁₅ + T₂₁₆ + ... + T₄₃₃.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1418481 + 10549504 = 1191^2 + 3248^2 .

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 11967985 - 2¹⁹ = 11443697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16030 + ... + 16759.

It is an arithmetic number, because the mean of its divisors is an integer number (1819845).

Almost surely, 2^11967985 is an apocalyptic number.

It is an amenable number.

11967985 is a deficient number, since it is larger than the sum of its proper divisors (2590775).

11967985 is an equidigital number, since it uses as much as digits as its factorization.

11967985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32867.

The product of its digits is 136080, while the sum is 46.

The square root of 11967985 is about 3459.4775617136. The cubic root of 11967985 is about 228.7390670320.

The spelling of 11967985 in words is "eleven million, nine hundred sixty-seven thousand, nine hundred eighty-five".