90535 has 8 divisors (see below), whose sum is σ = 114480. Its totient is φ = 68544.

The previous prime is 90533. The next prime is 90547. The reversal of 90535 is 53509.

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 90535 - 2¹ = 90533 is a prime.

90535 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90533) 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, 382 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (14310).

2⁹⁰⁵³⁵ is an apocalyptic number.

90535 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90535 is a deficient number, since it is larger than the sum of its proper divisors (23945).

90535 is a wasteful number, since it uses less digits than its factorization.

90535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

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

The square root of 90535 is about 300.8903454749. The cubic root of 90535 is about 44.9026702975.

It can be divided in two parts, 90 and 535, that added together give a 4-th power (625 = 5⁴).

The spelling of 90535 in words is "ninety thousand, five hundred thirty-five".