38202 has 8 divisors (see below), whose sum is σ = 76416. Its totient is φ = 12732.

The previous prime is 38201. The next prime is 38219. The reversal of 38202 is 20283.

38202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

38202 is an admirable number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38202.

It is not an unprimeable number, because it can be changed into a prime (38201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3178 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (9552).

2³⁸²⁰² is an apocalyptic number.

38202 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208).

38202 is a wasteful number, since it uses less digits than its factorization.

38202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 38202 is about 195.4533192351. The cubic root of 38202 is about 33.6792206664.

Adding to 38202 its reverse (20283), we get a palindrome (58485).

The spelling of 38202 in words is "thirty-eight thousand, two hundred two".