90653 has 4 divisors (see below), whose sum is σ = 91260. Its totient is φ = 90048.

The previous prime is 90647. The next prime is 90659. The reversal of 90653 is 35609.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35609 = 7 ⋅5087.

It is an interprime number because it is at equal distance from previous prime (90647) and next prime (90659).

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 76729 = 118^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 90653 - 2⁸ = 90397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90659) 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, 101 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2⁹⁰⁶⁵³ is an apocalyptic number.

It is an amenable number.

90653 is a deficient number, since it is larger than the sum of its proper divisors (607).

90653 is a wasteful number, since it uses less digits than its factorization.

90653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 90653 is about 301.0863663469. The cubic root of 90653 is about 44.9221699930.

It can be divided in two parts, 906 and 53, that added together give a palindrome (959).

The spelling of 90653 in words is "ninety thousand, six hundred fifty-three".