90735 has 16 divisors (see below), whose sum is σ = 152064. Its totient is φ = 46112.

The previous prime is 90731. The next prime is 90749. The reversal of 90735 is 53709.

It is a cyclic number.

It is not a de Polignac number, because 90735 - 2² = 90731 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (9504).

2⁹⁰⁷³⁵ is an apocalyptic number.

90735 is a deficient number, since it is larger than the sum of its proper divisors (61329).

90735 is a wasteful number, since it uses less digits than its factorization.

90735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 90735 is about 301.2225091191. Note that the first 3 decimals coincide. The cubic root of 90735 is about 44.9357106658.

The spelling of 90735 in words is "ninety thousand, seven hundred thirty-five".