90441 has 12 divisors (see below), whose sum is σ = 140868. Its totient is φ = 55584.

The previous prime is 90439. The next prime is 90469. The reversal of 90441 is 14409.

90441 = 46² + 47² + ... + 71².

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 81225 = 96^2 + 285^2 .

It is not a de Polignac number, because 90441 - 2¹ = 90439 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (90401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (11739).

2⁹⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

90441 is a deficient number, since it is larger than the sum of its proper divisors (50427).

90441 is a wasteful number, since it uses less digits than its factorization.

90441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90441 is about 300.7341018242. The cubic root of 90441 is about 44.8871245136.

It can be divided in two parts, 9044 and 1, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 90441 in words is "ninety thousand, four hundred forty-one".