313521 has 8 divisors (see below), whose sum is σ = 450240. Its totient is φ = 192912.

The previous prime is 313517. The next prime is 313543. The reversal of 313521 is 125313.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 313521 - 2² = 313517 is a prime.

313521 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 313521.

It is not an unprimeable number, because it can be changed into a prime (313561) 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, 3981 + ... + 4058.

It is an arithmetic number, because the mean of its divisors is an integer number (56280).

2³¹³⁵²¹ is an apocalyptic number.

It is an amenable number.

313521 is a deficient number, since it is larger than the sum of its proper divisors (136719).

313521 is a wasteful number, since it uses less digits than its factorization.

313521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8055.

The product of its digits is 90, while the sum is 15.

The square root of 313521 is about 559.9294598429. The cubic root of 313521 is about 67.9342646173.

Adding to 313521 its reverse (125313), we get a palindrome (438834).

The spelling of 313521 in words is "three hundred thirteen thousand, five hundred twenty-one".