317953 has 4 divisors (see below), whose sum is σ = 320980. Its totient is φ = 314928.

The previous prime is 317923. The next prime is 317957. The reversal of 317953 is 359713.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 288369 + 29584 = 537^2 + 172^2 .

It is a 3-Lehmer number, since φ(317953) divides (317953-1)³.

It is a cyclic number.

It is not a de Polignac number, because 317953 - 2⁵ = 317921 is a prime.

It is a super-2 number, since 2×317953² = 202188220418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1350 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (80245).

2³¹⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

317953 is a deficient number, since it is larger than the sum of its proper divisors (3027).

317953 is a wasteful number, since it uses less digits than its factorization.

317953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026.

The product of its digits is 2835, while the sum is 28.

The square root of 317953 is about 563.8732126995. The cubic root of 317953 is about 68.2528790710.

It can be divided in two parts, 3 and 17953, that added together give a square (17956 = 134²).

The spelling of 317953 in words is "three hundred seventeen thousand, nine hundred fifty-three".