11005983 has 32 divisors (see below), whose sum is σ = 17510400. Its totient is φ = 6814368.

The previous prime is 11005957. The next prime is 11006011. The reversal of 11005983 is 38950011.

It is not a de Polignac number, because 11005983 - 2²⁰ = 9957407 is a prime.

It is a super-2 number, since 2×11005983² = 242263323592578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22738 + ... + 23216.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 2^11005983 is an apocalyptic number.

11005983 is a deficient number, since it is larger than the sum of its proper divisors (6504417).

11005983 is a wasteful number, since it uses less digits than its factorization.

11005983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11005983 is about 3317.5266389285. The cubic root of 11005983 is about 222.4383231817.

Adding to 11005983 its reverse (38950011), we get a palindrome (49955994).

The spelling of 11005983 in words is "eleven million, five thousand, nine hundred eighty-three".