705133 has 8 divisors (see below), whose sum is σ = 828576. Its totient is φ = 591600.

The previous prime is 705127. The next prime is 705137. The reversal of 705133 is 331507.

705133 is nontrivially palindromic in base 15.

705133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 705133 - 2¹⁷ = 574061 is a prime.

It is a Duffinian number.

705133 is a lucky number.

705133 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 705133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705137) 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, 2323 + ... + 2608.

It is an arithmetic number, because the mean of its divisors is an integer number (103572).

2⁷⁰⁵¹³³ is an apocalyptic number.

It is an amenable number.

705133 is a deficient number, since it is larger than the sum of its proper divisors (123443).

705133 is a wasteful number, since it uses less digits than its factorization.

705133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 705133 is about 839.7219777998. The cubic root of 705133 is about 89.0069009504.

It can be divided in two parts, 705 and 133, that added together give a palindrome (838).

The spelling of 705133 in words is "seven hundred five thousand, one hundred thirty-three".