313105 has 8 divisors (see below), whose sum is σ = 404712. Its totient is φ = 231168.

The previous prime is 313087. The next prime is 313109. The reversal of 313105 is 501313.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 309136 = 63^2 + 556^2 .

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 313105 - 2¹⁵ = 280337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313109) 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, 2344 + ... + 2473.

It is an arithmetic number, because the mean of its divisors is an integer number (50589).

2³¹³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

313105 is a deficient number, since it is larger than the sum of its proper divisors (91607).

313105 is a wasteful number, since it uses less digits than its factorization.

313105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 313105 is about 559.5578611726. The cubic root of 313105 is about 67.9042047886.

Adding to 313105 its reverse (501313), we get a palindrome (814418).

It can be divided in two parts, 31 and 3105, that added together give a square (3136 = 56²).

The spelling of 313105 in words is "three hundred thirteen thousand, one hundred five".