353214 has 32 divisors (see below), whose sum is σ = 814080. Its totient is φ = 113400.

The previous prime is 353203. The next prime is 353237. The reversal of 353214 is 412353.

353214 is nontrivially palindromic in base 5.

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 353214.

It is an unprimeable number.

353214 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, 1569 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (25440).

2³⁵³²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407040).

353214 is an abundant number, since it is smaller than the sum of its proper divisors (460866).

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

353214 is a wasteful number, since it uses less digits than its factorization.

353214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

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

The square root of 353214 is about 594.3180966452. The cubic root of 353214 is about 70.6880448353.

Adding to 353214 its reverse (412353), we get a palindrome (765567).

It can be divided in two parts, 35 and 3214, that added together give a square (3249 = 57²).

The spelling of 353214 in words is "three hundred fifty-three thousand, two hundred fourteen".