90849 has 8 divisors (see below), whose sum is σ = 132192. Its totient is φ = 55040.

The previous prime is 90847. The next prime is 90863. The reversal of 90849 is 94809.

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 90849 - 2¹ = 90847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90841) 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, 1344 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (16524).

2⁹⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

90849 is a deficient number, since it is larger than the sum of its proper divisors (41343).

90849 is a wasteful number, since it uses less digits than its factorization.

90849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90849 is about 301.4116786059. The cubic root of 90849 is about 44.9545219556.

It can be divided in two parts, 90 and 849, that added together give a palindrome (939).

The spelling of 90849 in words is "ninety thousand, eight hundred forty-nine".