5121984 has 112 divisors (see below), whose sum is σ = 16060928. Its totient is φ = 1410048.

The previous prime is 5121979. The next prime is 5121989. The reversal of 5121984 is 4891215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5121979) and next prime (5121989).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49677 + ... + 49779.

Almost surely, 2^5121984 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 5121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030464).

5121984 is an abundant number, since it is smaller than the sum of its proper divisors (10938944).

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

5121984 is a wasteful number, since it uses less digits than its factorization.

5121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 5121984 is about 2263.1800635389. The cubic root of 5121984 is about 172.3770348194.

It can be divided in two parts, 5121 and 984, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5121984 in words is "five million, one hundred twenty-one thousand, nine hundred eighty-four".