65538 has 24 divisors (see below), whose sum is σ = 155376. Its totient is φ = 19800.

The previous prime is 65537. The next prime is 65539. The reversal of 65538 is 83556.

65538 is a `hidden beast` number, since 655 + 3 + 8 = 666.

65538 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (65537) and next prime (65539).

It is not an unprimeable number, because it can be changed into a prime (65537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (6474).

2⁶⁵⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77688).

65538 is an abundant number, since it is smaller than the sum of its proper divisors (89838).

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

65538 is a wasteful number, since it uses less digits than its factorization.

65538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 65538 is about 256.0039062202. The cubic root of 65538 is about 40.3178837230.

It can be divided in two parts, 6553 and 8, that added together give a 8-th power (6561 = 3⁸).

The spelling of 65538 in words is "sixty-five thousand, five hundred thirty-eight".