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66012 = 2235501

66012 has 12 divisors (see below), whose sum is σ = 154056. Its totient is φ = 22000.

The previous prime is 65993. The next prime is 66029. The reversal of 66012 is 21066.

It is a tau number, because it is divible by the number of its divisors (12).

It is a tribonacci number.

It is a junction number, because it is equal to n+sod(n) for n = 65982 and 66000.

It is a congruent number.

It is an unprimeable number.

66012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2739 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (12838).

266012 is an apocalyptic number.

It is an amenable number.

66012 is an abundant number, since it is smaller than the sum of its proper divisors (88044).

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 (77028).

66012 is a wasteful number, since it uses less digits than its factorization.

66012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 66012 is about 256.9280054801. The cubic root of 66012 is about 40.4148492942.

Adding to 66012 its reverse (21066), we get a palindrome (87078).

The spelling of 66012 in words is "sixty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 5501 11002 16503 22004 33006 66012