214352 has 10 divisors (see below), whose sum is σ = 415338. Its totient is φ = 107168.

The previous prime is 214351. The next prime is 214363. The reversal of 214352 is 253412.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 87616 = 356^2 + 296^2 .

It is a super-4 number, since 4×214352⁴ (a number of 22 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6683 + ... + 6714.

2²¹⁴³⁵² is an apocalyptic number.

It is an amenable number.

214352 is a deficient number, since it is larger than the sum of its proper divisors (200986).

214352 is a wasteful number, since it uses less digits than its factorization.

214352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13399 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 214352 is about 462.9816411047. The cubic root of 214352 is about 59.8470176791.

Adding to 214352 its sum of digits (17), we get a square (214369 = 463²).

Adding to 214352 its reverse (253412), we get a palindrome (467764).

Subtracting 214352 from its reverse (253412), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 214352 in words is "two hundred fourteen thousand, three hundred fifty-two".