90209853 has 24 divisors (see below), whose sum is σ = 137542080. Its totient is φ = 56816640.

The previous prime is 90209813. The next prime is 90209897. The reversal of 90209853 is 35890209.

It is not a de Polignac number, because 90209853 - 2²⁵ = 56655421 is a prime.

It is a super-3 number, since 3×90209853³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90209813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109200 + ... + 110022.

It is an arithmetic number, because the mean of its divisors is an integer number (5730920).

Almost surely, 2^90209853 is an apocalyptic number.

It is an amenable number.

90209853 is a deficient number, since it is larger than the sum of its proper divisors (47332227).

90209853 is a wasteful number, since it uses less digits than its factorization.

90209853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90209853 is about 9497.8867649599. The cubic root of 90209853 is about 448.4885140029.

The spelling of 90209853 in words is "ninety million, two hundred nine thousand, eight hundred fifty-three".