85352 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 41584.

The previous prime is 85333. The next prime is 85361. The reversal of 85352 is 25358.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85352.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2⁸⁵³⁵² is an apocalyptic number.

It is an amenable number.

85352 is a deficient number, since it is larger than the sum of its proper divisors (78808).

85352 is a wasteful number, since it uses less digits than its factorization.

85352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 85352 is about 292.1506460715. The cubic root of 85352 is about 44.0289066249.

The spelling of 85352 in words is "eighty-five thousand, three hundred fifty-two".