85202 has 16 divisors (see below), whose sum is σ = 143640. Its totient is φ = 37632.

The previous prime is 85201. The next prime is 85213. The reversal of 85202 is 20258.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32761 + 52441 = 181^2 + 229^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85202.

It is not an unprimeable number, because it can be changed into a prime (85201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 698 + ... + 810.

2⁸⁵²⁰² is an apocalyptic number.

85202 is a deficient number, since it is larger than the sum of its proper divisors (58438).

85202 is a wasteful number, since it uses less digits than its factorization.

85202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 85202 is about 291.8938163100. The cubic root of 85202 is about 44.0030989553.

It can be divided in two parts, 8 and 5202, that multiplied together give a triangular number (41616 = T₂₈₈).

The spelling of 85202 in words is "eighty-five thousand, two hundred two".