85392 has 30 divisors (see below), whose sum is σ = 239382. Its totient is φ = 28416.

The previous prime is 85381. The next prime is 85411. The reversal of 85392 is 29358.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 9216 = 276^2 + 96^2 .

It is an Ulam number.

It is an unprimeable number.

85392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 153 + ... + 440.

2⁸⁵³⁹² is an apocalyptic number.

It is an amenable number.

85392 is an abundant number, since it is smaller than the sum of its proper divisors (153990).

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

85392 is a wasteful number, since it uses less digits than its factorization.

85392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 85392 is about 292.2190958853. The cubic root of 85392 is about 44.0357835628.

The spelling of 85392 in words is "eighty-five thousand, three hundred ninety-two".