362001 has 8 divisors (see below), whose sum is σ = 490144. Its totient is φ = 237600.

The previous prime is 361993. The next prime is 362003. The reversal of 362001 is 100263.

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

It is not a de Polignac number, because 362001 - 2³ = 361993 is a prime.

It is a Duffinian number.

362001 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362001.

It is not an unprimeable number, because it can be changed into a prime (362003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (61268).

2³⁶²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

362001 is a deficient number, since it is larger than the sum of its proper divisors (128143).

362001 is a wasteful number, since it uses less digits than its factorization.

362001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 362001 is about 601.6651892872. The cubic root of 362001 is about 71.2694252975.

Adding to 362001 its reverse (100263), we get a palindrome (462264).

The spelling of 362001 in words is "three hundred sixty-two thousand, one".