• 53536² = 2866103296 is an anagram of the next square 53537² = 2866210369.

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53536 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 22848.

The previous prime is 53527. The next prime is 53549. The reversal of 53536 is 63535.

It is a super-2 number, since 2×53536² = 5732206592, which contains 22 as substring.

It is an unprimeable number.

53536 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵³⁵³⁶ is an apocalyptic number.

53536 is a gapful number since it is divisible by the number (56) 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 53536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

53536 is an abundant number, since it is smaller than the sum of its proper divisors (67424).

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

53536 is a wasteful number, since it uses less digits than its factorization.

53536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 1350, while the sum is 22.

The square root of 53536 is about 231.3784778237. The cubic root of 53536 is about 37.6890600476.

Subtracting 53536 from its reverse (63535), we obtain a palindrome (9999).

The spelling of 53536 in words is "fifty-three thousand, five hundred thirty-six".