65507 has 4 divisors (see below), whose sum is σ = 70560. Its totient is φ = 60456.

The previous prime is 65497. The next prime is 65519. The reversal of 65507 is 70556.

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

It is a cyclic number.

It is not a de Polignac number, because 65507 - 2¹⁰ = 64483 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65507.

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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2507 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁶⁵⁵⁰⁷ is an apocalyptic number.

65507 is a deficient number, since it is larger than the sum of its proper divisors (5053).

65507 is a wasteful number, since it uses less digits than its factorization.

65507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 65507 is about 255.9433531077. The cubic root of 65507 is about 40.3115258263.

The spelling of 65507 in words is "sixty-five thousand, five hundred seven".