85393 has 8 divisors (see below), whose sum is σ = 106560. Its totient is φ = 66480.

The previous prime is 85381. The next prime is 85411. The reversal of 85393 is 39358.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 85393 - 2⁵ = 85361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85303) 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, 478 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (13320).

2⁸⁵³⁹³ is an apocalyptic number.

It is an amenable number.

85393 is a deficient number, since it is larger than the sum of its proper divisors (21167).

85393 is a wasteful number, since it uses less digits than its factorization.

85393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its digits is 3240, while the sum is 28.

The square root of 85393 is about 292.2208069252. The cubic root of 85393 is about 44.0359554588.

It can be divided in two parts, 853 and 93, that added together give a triangular number (946 = T₄₃).

The spelling of 85393 in words is "eighty-five thousand, three hundred ninety-three".