40201 has 4 divisors (see below), whose sum is σ = 45952. Its totient is φ = 34452.

The previous prime is 40193. The next prime is 40213. The reversal of 40201 is 10204.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 40201 - 2³ = 40193 is a prime.

It is a super-2 number, since 2×40201² = 3232240802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 5743 = 40201 / (4 + 0 + 2 + 0 + 1).

It is the 201-st Hogben number.

It is a Duffinian number.

40201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (40231) by changing a digit.

It is a nontrivial repunit in base 200.

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 3 ways as a sum of consecutive naturals, for example, 2865 + ... + 2878.

It is an arithmetic number, because the mean of its divisors is an integer number (11488).

2⁴⁰²⁰¹ is an apocalyptic number.

It is an amenable number.

40201 is a deficient number, since it is larger than the sum of its proper divisors (5751).

40201 is an equidigital number, since it uses as much as digits as its factorization.

40201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750.

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 40201 is about 200.5018703155. The cubic root of 40201 is about 34.2567074437.

Adding to 40201 its reverse (10204), we get a palindrome (50405).

The spelling of 40201 in words is "forty thousand, two hundred one", and thus it is an iban number.