14052564 has 36 divisors (see below), whose sum is σ = 35957376. Its totient is φ = 4626768.

The previous prime is 14052547. The next prime is 14052569. The reversal of 14052564 is 46525041.

14052564 is a `hidden beast` number, since 1 + 405 + 256 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14052569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (998816).

Almost surely, 2^14052564 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 14052564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978688).

14052564 is an abundant number, since it is smaller than the sum of its proper divisors (21904812).

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

14052564 is a wasteful number, since it uses less digits than its factorization.

14052564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 14052564 is about 3748.6749659046. The cubic root of 14052564 is about 241.3154847423.

It can be divided in two parts, 1405 and 2564, that added together give a square (3969 = 63²).

The spelling of 14052564 in words is "fourteen million, fifty-two thousand, five hundred sixty-four".