90053 has 2 divisors, whose sum is σ = 90054. Its totient is φ = 90052.

The previous prime is 90031. The next prime is 90059. The reversal of 90053 is 35009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77284 + 12769 = 278^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 90053 - 2⁶ = 89989 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90053.

It is not a weakly prime, because it can be changed into another prime (90059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45026 + 45027.

It is an arithmetic number, because the mean of its divisors is an integer number (45027).

2⁹⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

90053 is a deficient number, since it is larger than the sum of its proper divisors (1).

90053 is an equidigital number, since it uses as much as digits as its factorization.

90053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 90053 is about 300.0883203325. The cubic root of 90053 is about 44.8228425709.

The spelling of 90053 in words is "ninety thousand, fifty-three".