785133 has 16 divisors (see below), whose sum is σ = 1180800. Its totient is φ = 521964.

The previous prime is 785129. The next prime is 785143. The reversal of 785133 is 331587.

It is not a de Polignac number, because 785133 - 2² = 785129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 785097 and 785106.

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 785133.

It is not an unprimeable number, because it can be changed into a prime (785123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008 + ... + 2366.

It is an arithmetic number, because the mean of its divisors is an integer number (73800).

785133 is a Friedman number, since it can be written as (351+8)*3^7, using all its digits and the basic arithmetic operations.

2⁷⁸⁵¹³³ is an apocalyptic number.

It is an amenable number.

785133 is a deficient number, since it is larger than the sum of its proper divisors (395667).

785133 is an frugal number, since it uses more digits than its factorization.

785133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 785133 is about 886.0773103968. The cubic root of 785133 is about 92.2531230353.

The spelling of 785133 in words is "seven hundred eighty-five thousand, one hundred thirty-three".