23552 has 22 divisors (see below), whose sum is σ = 49128. Its totient is φ = 11264.

The previous prime is 23549. The next prime is 23557. The reversal of 23552 is 25532.

Its product of digits (300) is a multiple of the sum of its prime divisors (25).

It is a self number, because there is not a number *n* which added to its sum of digits gives 23552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1013 + ... + 1035.

23552 is a Friedman number, since it can be written as 23*2^(5+5), using all its digits and the basic arithmetic operations.

2^{23552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564).

23552 is an abundant number, since it is smaller than the sum of its proper divisors (25576).

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

23552 is an equidigital number, since it uses as much as digits as its factorization.

23552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

The product of its digits is 300, while the sum is 17.

The square root of 23552 is about 153.4666087460. The cubic root of 23552 is about 28.6643829681.

It can be divided in two parts, 23 and 552, that added together give a palindrome (575).

The spelling of 23552 in words is "twenty-three thousand, five hundred fifty-two".

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