362401 has 8 divisors (see below), whose sum is σ = 397544. Its totient is φ = 328320.

The previous prime is 362393. The next prime is 362407. The reversal of 362401 is 104263.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 358801 = 60^2 + 599^2 .

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 362401 - 2³ = 362393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (362407) 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, 565 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (49693).

2³⁶²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

362401 is a deficient number, since it is larger than the sum of its proper divisors (35143).

362401 is a wasteful number, since it uses less digits than its factorization.

362401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 362401 is about 601.9975083005. The cubic root of 362401 is about 71.2956658111.

Adding to 362401 its reverse (104263), we get a palindrome (466664).

It can be divided in two parts, 36 and 2401, that multiplied together give a square (86436 = 294²).

The spelling of 362401 in words is "three hundred sixty-two thousand, four hundred one".