331704 has 48 divisors (see below), whose sum is σ = 954720. Its totient is φ = 103680.

The previous prime is 331697. The next prime is 331711. The reversal of 331704 is 407133.

It is an interprime number because it is at equal distance from previous prime (331697) and next prime (331711).

It is a super-2 number, since 2×331704² = 220055087232, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331704.

It is an unprimeable number.

331704 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 11 ways as a sum of consecutive naturals, for example, 1089 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2³³¹⁷⁰⁴ is an apocalyptic number.

331704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477360).

331704 is an abundant number, since it is smaller than the sum of its proper divisors (623016).

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

331704 is a wasteful number, since it uses less digits than its factorization.

331704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 331704 is about 575.9374966088. The cubic root of 331704 is about 69.2229712014. Note that the first 3 decimals are identical.

Adding to 331704 its reverse (407133), we get a palindrome (738837).

It can be divided in two parts, 331 and 704, that added together give a triangular number (1035 = T₄₅).

The spelling of 331704 in words is "three hundred thirty-one thousand, seven hundred four".