336401 has 8 divisors (see below), whose sum is σ = 367080. Its totient is φ = 306432.

The previous prime is 336397. The next prime is 336403. The reversal of 336401 is 104633.

336401 = 101² + 102² + ... + 126².

It is a Cunningham number, because it is equal to 580²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 330625 = 76^2 + 575^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 336401 - 2² = 336397 is a prime.

It is a super-2 number, since 2×336401² = 226331265602, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 336401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336401.

It is not an unprimeable number, because it can be changed into a prime (336403) 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, 1355 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (45885).

2³³⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

336401 is a deficient number, since it is larger than the sum of its proper divisors (30679).

336401 is a wasteful number, since it uses less digits than its factorization.

336401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 336401 is about 580.0008620683. Note that the first 3 decimals coincide. The cubic root of 336401 is about 69.5481783846.

It can be divided in two parts, 336 and 401, that added together give a palindrome (737).

The spelling of 336401 in words is "three hundred thirty-six thousand, four hundred one".