705311 has 4 divisors (see below), whose sum is σ = 706992. Its totient is φ = 703632.

The previous prime is 705307. The next prime is 705317. The reversal of 705311 is 113507.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 113507 = 223 ⋅509.

It is a cyclic number.

It is not a de Polignac number, because 705311 - 2² = 705307 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 705311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (176748).

2⁷⁰⁵³¹¹ is an apocalyptic number.

705311 is a deficient number, since it is larger than the sum of its proper divisors (1681).

705311 is an equidigital number, since it uses as much as digits as its factorization.

705311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 705311 is about 839.8279585725. The cubic root of 705311 is about 89.0143897955.

Adding to 705311 its reverse (113507), we get a palindrome (818818).

The spelling of 705311 in words is "seven hundred five thousand, three hundred eleven".