86202 has 12 divisors (see below), whose sum is σ = 186810. Its totient is φ = 28728.

The previous prime is 86201. The next prime is 86209. The reversal of 86202 is 20268.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 1521 = 291^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4789 = 86202 / (8 + 6 + 2 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (86201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2377 + ... + 2412.

2⁸⁶²⁰² is an apocalyptic number.

86202 is an abundant number, since it is smaller than the sum of its proper divisors (100608).

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

86202 is a wasteful number, since it uses less digits than its factorization.

86202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 86202 is about 293.6017711118. The cubic root of 86202 is about 44.1745818653.

The spelling of 86202 in words is "eighty-six thousand, two hundred two".