313548 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 93184.

The previous prime is 313543. The next prime is 313549. The reversal of 313548 is 845313.

It is not an unprimeable number, because it can be changed into a prime (313543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5890 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³¹³⁵⁴⁸ 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 313548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

313548 is an abundant number, since it is smaller than the sum of its proper divisors (502932).

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

313548 is a wasteful number, since it uses less digits than its factorization.

313548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 313548 is about 559.9535695038. The cubic root of 313548 is about 67.9362146967.

It can be divided in two parts, 313 and 548, that added together give a triangular number (861 = T₄₁).

The spelling of 313548 in words is "three hundred thirteen thousand, five hundred forty-eight".