65755 has 4 divisors (see below), whose sum is σ = 78912. Its totient is φ = 52600.

The previous prime is 65731. The next prime is 65761. The reversal of 65755 is 55756.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 65755 - 2¹⁵ = 32987 is a prime.

It is a Duffinian number.

65755 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6571 + ... + 6580.

It is an arithmetic number, because the mean of its divisors is an integer number (19728).

2⁶⁵⁷⁵⁵ is an apocalyptic number.

65755 is a deficient number, since it is larger than the sum of its proper divisors (13157).

65755 is a wasteful number, since it uses less digits than its factorization.

65755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156.

The product of its digits is 5250, while the sum is 28.

The square root of 65755 is about 256.4273776335. The cubic root of 65755 is about 40.3623329604.

Subtracting from 65755 its reverse (55756), we obtain a palindrome (9999).

It can be divided in two parts, 65 and 755, that added together give a triangular number (820 = T₄₀).

The spelling of 65755 in words is "sixty-five thousand, seven hundred fifty-five".