11652 has 12 divisors (see below), whose sum is σ = 27216. Its totient is φ = 3880.

The previous prime is 11633. The next prime is 11657. The reversal of 11652 is 25611.

11652 is nontrivially palindromic in base 7.

11652 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 11652.

It is not an unprimeable number, because it can be changed into a prime (11657) by changing a digit.

11652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

11652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11652 is an abundant number, since it is smaller than the sum of its proper divisors (15564).

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 (13608).

11652 is a wasteful number, since it uses less digits than its factorization.

11652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 976 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 11652 is about 107.9444301481. The cubic root of 11652 is about 22.6707989390.

It can be divided in two parts, 1 and 1652, that added together give a triangular number (1653 = T_{57}).

The spelling of 11652 in words is "eleven thousand, six hundred fifty-two".

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