95509 has 4 divisors (see below), whose sum is σ = 96300. Its totient is φ = 94720.

The previous prime is 95507. The next prime is 95527. The reversal of 95509 is 90559.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 46225 = 222^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 95509 - 2¹ = 95507 is a prime.

It is a Duffinian number.

95509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (24075).

2⁹⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

95509 is a deficient number, since it is larger than the sum of its proper divisors (791).

95509 is a wasteful number, since it uses less digits than its factorization.

95509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 95509 is about 309.0453041222. The cubic root of 95509 is about 45.7103730840.

Subtracting from 95509 its sum of digits (28), we obtain a square (95481 = 309²).

Subtracting from 95509 its reverse (90559), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 9550 and 9, that added together give a palindrome (9559).

The spelling of 95509 in words is "ninety-five thousand, five hundred nine".