41202 has 32 divisors (see below), whose sum is σ = 105600. Its totient is φ = 11664.

The previous prime is 41201. The next prime is 41203. The reversal of 41202 is 20214.

41202 = 24² + 25² + ... + 51².

It is an interprime number because it is at equal distance from previous prime (41201) and next prime (41203).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41202.

It is not an unprimeable number, because it can be changed into a prime (41201) 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 15 ways as a sum of consecutive naturals, for example, 324 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (3300).

2⁴¹²⁰² is an apocalyptic number.

41202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800).

41202 is an abundant number, since it is smaller than the sum of its proper divisors (64398).

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

41202 is a wasteful number, since it uses less digits than its factorization.

41202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

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

The square root of 41202 is about 202.9827578884. The cubic root of 41202 is about 34.5387089154.

Adding to 41202 its reverse (20214), we get a palindrome (61416).

It can be divided in two parts, 41 and 202, that added together give a 5-th power (243 = 3⁵).

The spelling of 41202 in words is "forty-one thousand, two hundred two", and thus it is an iban number.