90259 has 8 divisors (see below), whose sum is σ = 99792. Its totient is φ = 81120.

The previous prime is 90247. The next prime is 90263. The reversal of 90259 is 95209.

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

It is not a de Polignac number, because 90259 - 2⁵ = 90227 is a prime.

It is a Duffinian number.

90259 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624 + ... + 754.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2⁹⁰²⁵⁹ is an apocalyptic number.

90259 is a deficient number, since it is larger than the sum of its proper divisors (9533).

90259 is a wasteful number, since it uses less digits than its factorization.

90259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 90259 is about 300.4313565525. The cubic root of 90259 is about 44.8569945844.

Subtracting 90259 from its reverse (95209), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 9025 and 9, that multiplied together give a square (81225 = 285²).

The spelling of 90259 in words is "ninety thousand, two hundred fifty-nine".