84401 has 2 divisors, whose sum is σ = 84402. Its totient is φ = 84400.

The previous prime is 84391. The next prime is 84407. The reversal of 84401 is 10448.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 34225 = 224^2 + 185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84401 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84401.

It is not a weakly prime, because it can be changed into another prime (84407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42200 + 42201.

It is an arithmetic number, because the mean of its divisors is an integer number (42201).

2⁸⁴⁴⁰¹ is an apocalyptic number.

It is an amenable number.

84401 is a deficient number, since it is larger than the sum of its proper divisors (1).

84401 is an equidigital number, since it uses as much as digits as its factorization.

84401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 84401 is about 290.5185019926. The cubic root of 84401 is about 43.8647707638.

Adding to 84401 its reverse (10448), we get a palindrome (94849).

The spelling of 84401 in words is "eighty-four thousand, four hundred one".