90041 has 8 divisors (see below), whose sum is σ = 108480. Its totient is φ = 73008.

The previous prime is 90031. The next prime is 90053. The reversal of 90041 is 14009.

90041 is nontrivially palindromic in base 11.

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 90041 - 2⁶ = 89977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89998 and 90025.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90041.

It is not an unprimeable number, because it can be changed into a prime (90001) 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, 206 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (13560).

2⁹⁰⁰⁴¹ is an apocalyptic number.

It is an amenable number.

90041 is a deficient number, since it is larger than the sum of its proper divisors (18439).

90041 is a wasteful number, since it uses less digits than its factorization.

90041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 90041 is about 300.0683255527. The cubic root of 90041 is about 44.8208515286.

The spelling of 90041 in words is "ninety thousand, forty-one".