52124 has 12 divisors (see below), whose sum is σ = 92904. Its totient is φ = 25584.

The previous prime is 52121. The next prime is 52127. The reversal of 52124 is 42125.

Added to its reverse (42125) it gives a square (94249 = 307²).

It is an interprime number because it is at equal distance from previous prime (52121) and next prime (52127).

It is a super-2 number, since 2×52124² = 5433822752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52099 and 52108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (7742).

2⁵²¹²⁴ is an apocalyptic number.

It is an amenable number.

52124 is a deficient number, since it is larger than the sum of its proper divisors (40780).

52124 is a wasteful number, since it uses less digits than its factorization.

52124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its digits is 80, while the sum is 14.

The square root of 52124 is about 228.3068111117. The cubic root of 52124 is about 37.3547566950.

Adding to 52124 its reverse (42125), we get a palindrome (94249).

Subtracting from 52124 its reverse (42125), we obtain a palindrome (9999).

It can be divided in two parts, 521 and 24, that added together give a palindrome (545).

The spelling of 52124 in words is "fifty-two thousand, one hundred twenty-four".