84000401 has 2 divisors, whose sum is σ = 84000402. Its totient is φ = 84000400.

The previous prime is 84000377. The next prime is 84000403. The reversal of 84000401 is 10400048.

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., 50069776 + 33930625 = 7076^2 + 5825^2 .

It is a cyclic number.

It is not a de Polignac number, because 84000401 - 2⁶ = 84000337 is a prime.

Together with 84000403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84000401.

It is not a weakly prime, because it can be changed into another prime (84000403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42000200 + 42000201.

It is an arithmetic number, because the mean of its divisors is an integer number (42000201).

Almost surely, 2^84000401 is an apocalyptic number.

It is an amenable number.

84000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

84000401 is an equidigital number, since it uses as much as digits as its factorization.

84000401 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 84000401 is about 9165.1732662291. The cubic root of 84000401 is about 437.9526108874.

Adding to 84000401 its reverse (10400048), we get a palindrome (94400449).

The spelling of 84000401 in words is "eighty-four million, four hundred one", and thus it is an aban number.