353124 has 36 divisors (see below), whose sum is σ = 946764. Its totient is φ = 110592.

The previous prime is 353123. The next prime is 353137. The reversal of 353124 is 421353.

It can be written as a sum of positive squares in 2 ways, for example, as 324900 + 28224 = 570^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 353097 and 353106.

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 353124.

It is not an unprimeable number, because it can be changed into a prime (353123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (26299).

2³⁵³¹²⁴ is an apocalyptic number.

353124 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 353124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473382).

353124 is an abundant number, since it is smaller than the sum of its proper divisors (593640).

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

353124 is a wasteful number, since it uses less digits than its factorization.

353124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 353124 is about 594.2423747933. The cubic root of 353124 is about 70.6820404825.

Adding to 353124 its reverse (421353), we get a palindrome (774477).

The spelling of 353124 in words is "three hundred fifty-three thousand, one hundred twenty-four".