4202 has 8 divisors (see below), whose sum is σ = 6912. Its totient is φ = 1900.

The previous prime is 4201. The next prime is 4211. The reversal of 4202 is 2024.

4202 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4202.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4202.

It is not an unprimeable number, because it can be changed into a prime (4201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2⁴²⁰² is an apocalyptic number.

4202 is a deficient number, since it is larger than the sum of its proper divisors (2710).

4202 is a wasteful number, since it uses less digits than its factorization.

4202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4202 is about 64.8228354826. The cubic root of 4202 is about 16.1368470517.

Subtracting from 4202 its product of nonzero digits (16), we obtain a triangular number (4186 = T₉₁).

Adding to 4202 its reverse (2024), we get a palindrome (6226).

It can be divided in two parts, 4 and 202, that multiplied together give a palindrome (808).

The spelling of 4202 in words is "four thousand, two hundred two", and thus it is an iban number.