90401 has 2 divisors, whose sum is σ = 90402. Its totient is φ = 90400.

The previous prime is 90397. The next prime is 90403. The reversal of 90401 is 10409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 22801 = 260^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 90401 - 2² = 90397 is a prime.

Together with 90403, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (90403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45200 + 45201.

It is an arithmetic number, because the mean of its divisors is an integer number (45201).

2⁹⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

90401 is a deficient number, since it is larger than the sum of its proper divisors (1).

90401 is an equidigital number, since it uses as much as digits as its factorization.

90401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 90401 is about 300.6675905381. The cubic root of 90401 is about 44.8805060192.

The spelling of 90401 in words is "ninety thousand, four hundred one".