315330 has 32 divisors (see below), whose sum is σ = 791424. Its totient is φ = 80256.

The previous prime is 315313. The next prime is 315349. The reversal of 315330 is 33513.

315330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (24732).

2³¹⁵³³⁰ is an apocalyptic number.

315330 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 315330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395712).

315330 is an abundant number, since it is smaller than the sum of its proper divisors (476094).

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

315330 is a wasteful number, since it uses less digits than its factorization.

315330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 315330 is about 561.5425184258. The cubic root of 315330 is about 68.0646731888.

Adding to 315330 its reverse (33513), we get a palindrome (348843).

The spelling of 315330 in words is "three hundred fifteen thousand, three hundred thirty".