95355 has 24 divisors (see below), whose sum is σ = 179088. Its totient is φ = 46656.

The previous prime is 95339. The next prime is 95369. The reversal of 95355 is 55359.

It is not a de Polignac number, because 95355 - 2⁴ = 95339 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95355.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (7462).

2⁹⁵³⁵⁵ is an apocalyptic number.

95355 is a deficient number, since it is larger than the sum of its proper divisors (83733).

95355 is a wasteful number, since it uses less digits than its factorization.

95355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 95355 is about 308.7960491975. The cubic root of 95355 is about 45.6857918602.

The spelling of 95355 in words is "ninety-five thousand, three hundred fifty-five".