90301 has 4 divisors (see below), whose sum is σ = 91612. Its totient is φ = 88992.

The previous prime is 90289. The next prime is 90313. The reversal of 90301 is 10309.

It is a happy number.

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

It is an interprime number because it is at equal distance from previous prime (90289) and next prime (90313).

It can be written as a sum of positive squares in 2 ways, for example, as 60025 + 30276 = 245^2 + 174^2 .

It is a cyclic number.

It is not a de Polignac number, because 90301 - 2⁷ = 90173 is a prime.

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

It is the 301-st Hogben number.

It is a Duffinian number.

90301 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90371) by changing a digit.

It is a nontrivial repunit in base 300.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 546 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (22903).

2⁹⁰³⁰¹ is an apocalyptic number.

It is an amenable number.

90301 is a deficient number, since it is larger than the sum of its proper divisors (1311).

90301 is a wasteful number, since it uses less digits than its factorization.

90301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 90301 is about 300.5012479175. The cubic root of 90301 is about 44.8639512374.

The spelling of 90301 in words is "ninety thousand, three hundred one".