85355 has 8 divisors (see below), whose sum is σ = 105072. Its totient is φ = 66528.

The previous prime is 85333. The next prime is 85361. The reversal of 85355 is 55358.

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 85355 - 2¹⁶ = 19819 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (13134).

2⁸⁵³⁵⁵ is an apocalyptic number.

85355 is a deficient number, since it is larger than the sum of its proper divisors (19717).

85355 is a wasteful number, since it uses less digits than its factorization.

85355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445.

The product of its digits is 3000, while the sum is 26.

The square root of 85355 is about 292.1557803638. The cubic root of 85355 is about 44.0294224698.

The spelling of 85355 in words is "eighty-five thousand, three hundred fifty-five".