331530 has 32 divisors (see below), whose sum is σ = 817344. Its totient is φ = 86016.

The previous prime is 331523. The next prime is 331537. The reversal of 331530 is 35133.

It is an interprime number because it is at equal distance from previous prime (331523) and next prime (331537).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (331537) by changing a digit.

331530 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 15 ways as a sum of consecutive naturals, for example, 1162 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (25542).

2³³¹⁵³⁰ is an apocalyptic number.

331530 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 331530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408672).

331530 is an abundant number, since it is smaller than the sum of its proper divisors (485814).

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

331530 is a wasteful number, since it uses less digits than its factorization.

331530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

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

The square root of 331530 is about 575.7864187353. The cubic root of 331530 is about 69.2108651232.

Adding to 331530 its reverse (35133), we get a palindrome (366663).

It can be divided in two parts, 331 and 530, that added together give a triangular number (861 = T₄₁).

The spelling of 331530 in words is "three hundred thirty-one thousand, five hundred thirty".