11946 has 16 divisors (see below), whose sum is σ = 26208. Its totient is φ = 3600.

The previous prime is 11941. The next prime is 11953. The reversal of 11946 is 64911.

11946 = T₄₁ + T₄₂ + ... + T₅₁.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (11941) 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, 25 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2¹¹⁹⁴⁶ is an apocalyptic number.

11946 is an abundant number, since it is smaller than the sum of its proper divisors (14262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

11946 is a wasteful number, since it uses less digits than its factorization.

11946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 216, while the sum is 21.

The square root of 11946 is about 109.2977584400. The cubic root of 11946 is about 22.8598917825.

The spelling of 11946 in words is "eleven thousand, nine hundred forty-six".