313890 has 16 divisors (see below), whose sum is σ = 753408. Its totient is φ = 83696.

The previous prime is 313889. The next prime is 313897. The reversal of 313890 is 98313.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 313890.

It is not an unprimeable number, because it can be changed into a prime (313897) 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 7 ways as a sum of consecutive naturals, for example, 5202 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (47088).

2³¹³⁸⁹⁰ is an apocalyptic number.

313890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313890 is an abundant number, since it is smaller than the sum of its proper divisors (439518).

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

313890 is a wasteful number, since it uses less digits than its factorization.

313890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 313890 is about 560.2588687384. The cubic root of 313890 is about 67.9609060178.

The spelling of 313890 in words is "three hundred thirteen thousand, eight hundred ninety".