92202 has 24 divisors (see below), whose sum is σ = 204288. Its totient is φ = 27720.

The previous prime is 92189. The next prime is 92203. The reversal of 92202 is 20229.

It is a nialpdrome in base 11.

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92202.

It is not an unprimeable number, because it can be changed into a prime (92203) 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 11 ways as a sum of consecutive naturals, for example, 663 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2⁹²²⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

92202 is an abundant number, since it is smaller than the sum of its proper divisors (112086).

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

92202 is a wasteful number, since it uses less digits than its factorization.

92202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92202 is about 303.6478223205. The cubic root of 92202 is about 45.1765900652.

It can be divided in two parts, 9 and 2202, that added together give a triangular number (2211 = T₆₆).

The spelling of 92202 in words is "ninety-two thousand, two hundred two".