11986965 has 48 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 6082560.

The previous prime is 11986963. The next prime is 11986973. The reversal of 11986965 is 56968911.

11986965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2604996 + 9381969 = 1614^2 + 3063^2 .

It is not a de Polignac number, because 11986965 - 2¹ = 11986963 is a prime.

It is a super-2 number, since 2×11986965² = 287374659822450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11986965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134641 + ... + 134729.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 2^11986965 is an apocalyptic number.

11986965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11986965 is the 2190-th heptagonal number.

It is an amenable number.

11986965 is a deficient number, since it is larger than the sum of its proper divisors (9831195).

11986965 is a wasteful number, since it uses less digits than its factorization.

11986965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 11986965 is about 3462.2196637417. The cubic root of 11986965 is about 228.8599220874.

The spelling of 11986965 in words is "eleven million, nine hundred eighty-six thousand, nine hundred sixty-five".