95535 has 24 divisors (see below), whose sum is σ = 181584. Its totient is φ = 46080.

The previous prime is 95531. The next prime is 95539. The reversal of 95535 is 53559.

It is an interprime number because it is at equal distance from previous prime (95531) and next prime (95539).

It is not a de Polignac number, because 95535 - 2² = 95531 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 95499 and 95508.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95535.

It is not an unprimeable number, because it can be changed into a prime (95531) by changing a digit.

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, 399 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (7566).

2⁹⁵⁵³⁵ is an apocalyptic number.

95535 is a deficient number, since it is larger than the sum of its proper divisors (86049).

95535 is a wasteful number, since it uses less digits than its factorization.

95535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 212 counting only the distinct ones).

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

The square root of 95535 is about 309.0873662899. The cubic root of 95535 is about 45.7145205531.

It can be divided in two parts, 955 and 35, that added together give a triangular number (990 = T₄₄).

The spelling of 95535 in words is "ninety-five thousand, five hundred thirty-five".