313945 has 8 divisors (see below), whose sum is σ = 387144. Its totient is φ = 244224.

The previous prime is 313933. The next prime is 313949. The reversal of 313945 is 549313.

It can be written as a sum of positive squares in 4 ways, for example, as 175561 + 138384 = 419^2 + 372^2 .

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 313945 - 2¹¹ = 311897 is a prime.

It is a super-2 number, since 2×313945² = 197122926050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313949) 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, 664 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (48393).

2³¹³⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

313945 is a deficient number, since it is larger than the sum of its proper divisors (73199).

313945 is a wasteful number, since it uses less digits than its factorization.

313945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739.

The product of its digits is 1620, while the sum is 25.

The square root of 313945 is about 560.3079510412. The cubic root of 313945 is about 67.9648751700.

The spelling of 313945 in words is "three hundred thirteen thousand, nine hundred forty-five".