5283144 has 80 divisors (see below), whose sum is σ = 15333120. Its totient is φ = 1697760.

The previous prime is 5283143. The next prime is 5283167. The reversal of 5283144 is 4413825.

5283144 = 39³ + 40³ + ... + 69³.

It is a super-2 number, since 2×5283144² = 55823221049472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5283143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19957 + ... + 20219.

It is an arithmetic number, because the mean of its divisors is an integer number (191664).

Almost surely, 2^5283144 is an apocalyptic number.

5283144 is a gapful number since it is divisible by the number (54) 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 5283144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666560).

5283144 is an abundant number, since it is smaller than the sum of its proper divisors (10049976).

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

5283144 is a wasteful number, since it uses less digits than its factorization.

5283144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5283144 is about 2298.5090819921. The cubic root of 5283144 is about 174.1663094804.

Adding to 5283144 its reverse (4413825), we get a palindrome (9696969).

The spelling of 5283144 in words is "five million, two hundred eighty-three thousand, one hundred forty-four".