313830 has 48 divisors (see below), whose sum is σ = 892944. Its totient is φ = 75840.

The previous prime is 313829. The next prime is 313849. The reversal of 313830 is 38313.

313830 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (18).

313830 is an undulating number in base 13.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (18603).

2³¹³⁸³⁰ is an apocalyptic number.

313830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446472).

313830 is an abundant number, since it is smaller than the sum of its proper divisors (579114).

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

313830 is a wasteful number, since it uses less digits than its factorization.

313830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313830 is about 560.2053195035. The cubic root of 313830 is about 67.9565755047.

The spelling of 313830 in words is "three hundred thirteen thousand, eight hundred thirty".