855393 has 36 divisors (see below), whose sum is σ = 1513008. Its totient is φ = 425040.

The previous prime is 855391. The next prime is 855397. The reversal of 855393 is 393558.

It is not a de Polignac number, because 855393 - 2¹ = 855391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (855391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37180 + ... + 37202.

It is an arithmetic number, because the mean of its divisors is an integer number (42028).

2⁸⁵⁵³⁹³ is an apocalyptic number.

It is an amenable number.

855393 is a deficient number, since it is larger than the sum of its proper divisors (657615).

855393 is a wasteful number, since it uses less digits than its factorization.

855393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 855393 is about 924.8745860926. The cubic root of 855393 is about 94.9267394559.

Multiplying 855393 by its sum of digits (33), we get a square (28227969 = 5313²).

855393 divided by its sum of digits (33) gives a square (25921 = 161²).

It can be divided in two parts, 8553 and 93, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 855393 in words is "eight hundred fifty-five thousand, three hundred ninety-three".