65527 has 16 divisors (see below), whose sum is σ = 87552. Its totient is φ = 47520.

The previous prime is 65521. The next prime is 65537. The reversal of 65527 is 72556.

It is a happy number.

It is not a de Polignac number, because 65527 - 2³ = 65519 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753 + ... + 1789.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2⁶⁵⁵²⁷ is an apocalyptic number.

65527 is a deficient number, since it is larger than the sum of its proper divisors (22025).

65527 is a wasteful number, since it uses less digits than its factorization.

65527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its digits is 2100, while the sum is 25.

The square root of 65527 is about 255.9824212715. The cubic root of 65527 is about 40.3156279247.

The spelling of 65527 in words is "sixty-five thousand, five hundred twenty-seven".