42201 has 10 divisors (see below), whose sum is σ = 63162. Its totient is φ = 28080.

The previous prime is 42197. The next prime is 42209. The reversal of 42201 is 10224.

42201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 9801 = 180^2 + 99^2 .

It is not a de Polignac number, because 42201 - 2² = 42197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

42201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (42209) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 180 + ... + 341.

2⁴²²⁰¹ is an apocalyptic number.

It is an amenable number.

42201 is a deficient number, since it is larger than the sum of its proper divisors (20961).

42201 is an equidigital number, since it uses as much as digits as its factorization.

42201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42201 is about 205.4288197892. The cubic root of 42201 is about 34.8156291272.

Adding to 42201 its reverse (10224), we get a palindrome (52425).

It can be divided in two parts, 42 and 201, that added together give a 5-th power (243 = 3⁵).

The spelling of 42201 in words is "forty-two thousand, two hundred one", and thus it is an iban number.