90553 has 4 divisors (see below), whose sum is σ = 91728. Its totient is φ = 89380.

The previous prime is 90547. The next prime is 90583. The reversal of 90553 is 35509.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 90553 - 2¹³ = 82361 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463 + ... + 628.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁹⁰⁵⁵³ is an apocalyptic number.

It is an amenable number.

90553 is a deficient number, since it is larger than the sum of its proper divisors (1175).

90553 is a wasteful number, since it uses less digits than its factorization.

90553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 90553 is about 300.9202552172. The cubic root of 90553 is about 44.9056459221.

It can be divided in two parts, 90 and 553, that multiplied together give a triangular number (49770 = T₃₁₅).

The spelling of 90553 in words is "ninety thousand, five hundred fifty-three".