85382 has 8 divisors (see below), whose sum is σ = 139752. Its totient is φ = 38800.

The previous prime is 85381. The next prime is 85411. The reversal of 85382 is 28358.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85382.

It is not an unprimeable number, because it can be changed into a prime (85381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1919 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (17469).

2⁸⁵³⁸² is an apocalyptic number.

85382 is a deficient number, since it is larger than the sum of its proper divisors (54370).

85382 is a wasteful number, since it uses less digits than its factorization.

85382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894.

The product of its digits is 1920, while the sum is 26.

The square root of 85382 is about 292.2019849351. The cubic root of 85382 is about 44.0340645297.

The spelling of 85382 in words is "eighty-five thousand, three hundred eighty-two".