65556 has 24 divisors (see below), whose sum is σ = 170240. Its totient is φ = 21816.

The previous prime is 65551. The next prime is 65557.

65556 = T₁₂₄ + T₁₂₅ + ... + T₁₃₁.

65556 is a `hidden beast` number, since 655 + 5 + 6 = 666.

65556 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 411.

2⁶⁵⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

65556 is an abundant number, since it is smaller than the sum of its proper divisors (104684).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85120).

65556 is a wasteful number, since it uses less digits than its factorization.

65556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 65556 is about 256.0390595202. The cubic root of 65556 is about 40.3215744850.

It can be divided in two parts, 6555 and 6, that added together give a 8-th power (6561 = 3⁸).

The spelling of 65556 in words is "sixty-five thousand, five hundred fifty-six".