21252 has 48 divisors (see below), whose sum is σ = 64512. Its totient is φ = 5280.

The previous prime is 21247. The next prime is 21269. The reversal of 21252 is 25212.

21252 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

21252 is an astonishing number since 21252 = 52 + ... + 212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

2^{21252} is an apocalyptic number.

21252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

21252 is an abundant number, since it is smaller than the sum of its proper divisors (43260).

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

21252 is a wasteful number, since it uses less digits than its factorization.

21252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 21252 is about 145.7806571531. The cubic root of 21252 is about 27.6991602225.

21252 divided by its sum of digits (12) gives a palindrome (1771).

Subtracting from 21252 its product of digits (40), we obtain a palindrome (21212).

Adding to 21252 its reverse (25212), we get a palindrome (46464).

The spelling of 21252 in words is "twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 21252

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