90337 has 4 divisors (see below), whose sum is σ = 97300. Its totient is φ = 83376.

The previous prime is 90313. The next prime is 90353. The reversal of 90337 is 73309.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 43681 = 216^2 + 209^2 .

It is a cyclic number.

It is not a de Polignac number, because 90337 - 2¹¹ = 88289 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90337.

It is not an unprimeable number, because it can be changed into a prime (90397) 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 3 ways as a sum of consecutive naturals, for example, 3462 + ... + 3487.

It is an arithmetic number, because the mean of its divisors is an integer number (24325).

2⁹⁰³³⁷ is an apocalyptic number.

It is an amenable number.

90337 is a deficient number, since it is larger than the sum of its proper divisors (6963).

90337 is a wasteful number, since it uses less digits than its factorization.

90337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 90337 is about 300.5611418663. The cubic root of 90337 is about 44.8699123662.

It can be divided in two parts, 903 and 37, that multiplied together give a triangular number (33411 = T₂₅₈).

The spelling of 90337 in words is "ninety thousand, three hundred thirty-seven".