90529 has 2 divisors, whose sum is σ = 90530. Its totient is φ = 90528.

The previous prime is 90527. The next prime is 90533. The reversal of 90529 is 92509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 529 = 300^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 90529 - 2¹ = 90527 is a prime.

Together with 90527, it forms a pair of twin primes.

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

It is not a weakly prime, because it can be changed into another prime (90523) 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 as a sum of consecutive naturals, namely, 45264 + 45265.

It is an arithmetic number, because the mean of its divisors is an integer number (45265).

2⁹⁰⁵²⁹ is an apocalyptic number.

It is an amenable number.

90529 is a deficient number, since it is larger than the sum of its proper divisors (1).

90529 is an equidigital number, since it uses as much as digits as its factorization.

90529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 90529 is about 300.8803749001. The cubic root of 90529 is about 44.9016783350.

The spelling of 90529 in words is "ninety thousand, five hundred twenty-nine".