5214 has 16 divisors (see below), whose sum is σ = 11520. Its totient is φ = 1560.

The previous prime is 5209. The next prime is 5227. The reversal of 5214 is 4125.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 5214.

It is a congruent number.

It is an unprimeable number.

5214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2^{5214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760).

5214 is an abundant number, since it is smaller than the sum of its proper divisors (6306).

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

5214 is a wasteful number, since it uses less digits than its factorization.

5214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its digits is 40, while the sum is 12.

The square root of 5214 is about 72.2080327941. The cubic root of 5214 is about 17.3403160558.

Adding to 5214 its reverse (4125), we get a palindrome (9339).

Subtracting from 5214 its reverse (4125), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 521 and 4, that added together give a palindrome (525).

The spelling of 5214 in words is "five thousand, two hundred fourteen".

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