86406401 has 2 divisors, whose sum is σ = 86406402. Its totient is φ = 86406400.

The previous prime is 86406379. The next prime is 86406413. The reversal of 86406401 is 10460468.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52940176 + 33466225 = 7276^2 + 5785^2 .

It is a cyclic number.

It is not a de Polignac number, because 86406401 - 2¹⁰ = 86405377 is a prime.

It is a super-2 number, since 2×86406401² = 14932132267545602, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (86406491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43203200 + 43203201.

It is an arithmetic number, because the mean of its divisors is an integer number (43203201).

Almost surely, 2^86406401 is an apocalyptic number.

It is an amenable number.

86406401 is a deficient number, since it is larger than the sum of its proper divisors (1).

86406401 is an equidigital number, since it uses as much as digits as its factorization.

86406401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 86406401 is about 9295.5043434985. The cubic root of 86406401 is about 442.0946969217.

Adding to 86406401 its reverse (10460468), we get a palindrome (96866869).

The spelling of 86406401 in words is "eighty-six million, four hundred six thousand, four hundred one".