313248 has 48 divisors (see below), whose sum is σ = 889056. Its totient is φ = 96000.

The previous prime is 313241. The next prime is 313249. The reversal of 313248 is 842313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313241) by changing a digit.

313248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2³¹³²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

313248 is an abundant number, since it is smaller than the sum of its proper divisors (575808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313248 is a wasteful number, since it uses less digits than its factorization.

313248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 313248 is about 559.6856260438. The cubic root of 313248 is about 67.9145408563.

It can be divided in two parts, 313 and 248, that added together give a triangular number (561 = T₃₃).

The spelling of 313248 in words is "three hundred thirteen thousand, two hundred forty-eight".