386401 has 2 divisors, whose sum is σ = 386402. Its totient is φ = 386400.

The previous prime is 386383. The next prime is 386411. The reversal of 386401 is 104683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 141376 = 495^2 + 376^2 .

It is an emirp because it is prime and its reverse (104683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 386401 - 2⁵ = 386369 is a prime.

It is not a weakly prime, because it can be changed into another prime (386411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193200 + 193201.

It is an arithmetic number, because the mean of its divisors is an integer number (193201).

2³⁸⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

386401 is a deficient number, since it is larger than the sum of its proper divisors (1).

386401 is an equidigital number, since it uses as much as digits as its factorization.

386401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 386401 is about 621.6116150781. The cubic root of 386401 is about 72.8359988808.

It can be divided in two parts, 386 and 401, that added together give a palindrome (787).

The spelling of 386401 in words is "three hundred eighty-six thousand, four hundred one".