386801 has 8 divisors (see below), whose sum is σ = 417384. Its totient is φ = 357120.

The previous prime is 386777. The next prime is 386809. The reversal of 386801 is 108683.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 361201 = 160^2 + 601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-386801 is a prime.

It is a Curzon number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (386809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (52173).

2³⁸⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

386801 is a deficient number, since it is larger than the sum of its proper divisors (30583).

386801 is a wasteful number, since it uses less digits than its factorization.

386801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 386801 is about 621.9332761639. The cubic root of 386801 is about 72.8611233431.

The spelling of 386801 in words is "three hundred eighty-six thousand, eight hundred one".