90249 has 8 divisors (see below), whose sum is σ = 122400. Its totient is φ = 59136.

The previous prime is 90247. The next prime is 90263. The reversal of 90249 is 94209.

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

It is not a de Polignac number, because 90249 - 2¹ = 90247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90247) 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, 24 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2⁹⁰²⁴⁹ is an apocalyptic number.

It is an amenable number.

90249 is a deficient number, since it is larger than the sum of its proper divisors (32151).

90249 is a wasteful number, since it uses less digits than its factorization.

90249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90249 is about 300.4147133547. The cubic root of 90249 is about 44.8553379204.

The spelling of 90249 in words is "ninety thousand, two hundred forty-nine".