5214144 has 56 divisors (see below), whose sum is σ = 14864080. Its totient is φ = 1603584.

The previous prime is 5214119. The next prime is 5214161. The reversal of 5214144 is 4414125.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5214144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (265430).

Almost surely, 2^5214144 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 5214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432040).

5214144 is an abundant number, since it is smaller than the sum of its proper divisors (9649936).

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

5214144 is a wasteful number, since it uses less digits than its factorization.

5214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 5214144 is about 2283.4500213493. The cubic root of 5214144 is about 173.4047568900.

Adding to 5214144 its reverse (4414125), we get a palindrome (9628269).

It can be divided in two parts, 52 and 14144, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 5214144 in words is "five million, two hundred fourteen thousand, one hundred forty-four".