95409 has 6 divisors (see below), whose sum is σ = 137826. Its totient is φ = 63600.

The previous prime is 95401. The next prime is 95413. The reversal of 95409 is 90459.

It is a happy number.

95409 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 91809 + 3600 = 303^2 + 60^2 .

It is not a de Polignac number, because 95409 - 2³ = 95401 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5292 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2⁹⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

95409 is a deficient number, since it is larger than the sum of its proper divisors (42417).

95409 is a wasteful number, since it uses less digits than its factorization.

95409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95409 is about 308.8834731739. The cubic root of 95409 is about 45.6944142614.

Subtracting from 95409 its reverse (90459), we obtain a triangular number (4950 = T₉₉).

The spelling of 95409 in words is "ninety-five thousand, four hundred nine".