313601 has 8 divisors (see below), whose sum is σ = 328104. Its totient is φ = 299520.

The previous prime is 313597. The next prime is 313603. The reversal of 313601 is 106313.

It is a Cunningham number, because it is equal to 560²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 303601 = 100^2 + 551^2 .

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 313601 - 2² = 313597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313603) 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, 3185 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2³¹³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

313601 is a deficient number, since it is larger than the sum of its proper divisors (14503).

313601 is an equidigital number, since it uses as much as digits as its factorization.

313601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313601 is about 560.0008928564. Note that the first 3 decimals coincide. The cubic root of 313601 is about 67.9400423047.

Adding to 313601 its reverse (106313), we get a palindrome (419914).

The spelling of 313601 in words is "three hundred thirteen thousand, six hundred one".