90001 has 2 divisors, whose sum is σ = 90002. Its totient is φ = 90000.

The previous prime is 89989. The next prime is 90007. The reversal of 90001 is 10009.

It is a happy number.

It is a Cunningham number, because it is equal to 300^{2}+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 1 = 300^2 + 1^2 .

It is an emirp because it is prime and its reverse (10009) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-90001 is a prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 90001.

It is not a weakly prime, because it can be changed into another prime (90007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45000 + 45001.

It is an arithmetic number, because the mean of its divisors is an integer number (45001).

2^{90001} is an apocalyptic number.

It is an amenable number.

90001 is a deficient number, since it is larger than the sum of its proper divisors (1).

90001 is an equidigital number, since it uses as much as digits as its factorization.

90001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 90001 is about 300.0016666620. The cubic root of 90001 is about 44.8142134429.

The spelling of 90001 in words is "ninety thousand, one".

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