323952 has 40 divisors (see below), whose sum is σ = 888336. Its totient is φ = 101376.

The previous prime is 323951. The next prime is 323957. The reversal of 323952 is 259323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3³ + 2¹⁶ + 9² + 3¹¹ + 5⁶ + 2¹⁶ .

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 323952.

It is not an unprimeable number, because it can be changed into a prime (323951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 1014.

2³²³⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444168).

323952 is an abundant number, since it is smaller than the sum of its proper divisors (564384).

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

323952 is a wasteful number, since it uses less digits than its factorization.

323952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 323952 is about 569.1678135664. The cubic root of 323952 is about 68.6794626398.

It can be divided in two parts, 323 and 952, that added together give a triangular number (1275 = T₅₀).

The spelling of 323952 in words is "three hundred twenty-three thousand, nine hundred fifty-two".