90523 has 2 divisors, whose sum is σ = 90524. Its totient is φ = 90522.

The previous prime is 90511. The next prime is 90527. The reversal of 90523 is 32509.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 90523 - 2⁹ = 90011 is a prime.

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

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 90523.

It is not a weakly prime, because it can be changed into another prime (90527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45261 + 45262.

It is an arithmetic number, because the mean of its divisors is an integer number (45262).

2⁹⁰⁵²³ is an apocalyptic number.

90523 is a deficient number, since it is larger than the sum of its proper divisors (1).

90523 is an equidigital number, since it uses as much as digits as its factorization.

90523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 90523 is about 300.8704039948. The cubic root of 90523 is about 44.9006863287.

The spelling of 90523 in words is "ninety thousand, five hundred twenty-three".