90541 has 4 divisors (see below), whose sum is σ = 98784. Its totient is φ = 82300.

The previous prime is 90533. The next prime is 90547. The reversal of 90541 is 14509.

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, and also an emirpimes, since its reverse is a distinct semiprime: 14509 = 11 ⋅1319.

It is a cyclic number.

It is not a de Polignac number, because 90541 - 2³ = 90533 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90547) 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, 4105 + ... + 4126.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁹⁰⁵⁴¹ is an apocalyptic number.

It is an amenable number.

90541 is a deficient number, since it is larger than the sum of its proper divisors (8243).

90541 is a wasteful number, since it uses less digits than its factorization.

90541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 90541 is about 300.9003157193. The cubic root of 90541 is about 44.9036622162.

It can be divided in two parts, 905 and 41, that added together give a triangular number (946 = T₄₃).

The spelling of 90541 in words is "ninety thousand, five hundred forty-one".