95259 has 8 divisors (see below), whose sum is σ = 128592. Its totient is φ = 62720.

The previous prime is 95257. The next prime is 95261.

95259 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (95257) and next prime (95261).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 95259 - 2¹ = 95257 is a prime.

95259 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95259.

It is not an unprimeable number, because it can be changed into a prime (95257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (16074).

2⁹⁵²⁵⁹ is an apocalyptic number.

95259 is a deficient number, since it is larger than the sum of its proper divisors (33333).

95259 is a wasteful number, since it uses less digits than its factorization.

95259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its digits is 4050, while the sum is 30.

The square root of 95259 is about 308.6405676511. The cubic root of 95259 is about 45.6704551057.

The spelling of 95259 in words is "ninety-five thousand, two hundred fifty-nine".