52112 has 10 divisors (see below), whose sum is σ = 100998. Its totient is φ = 26048.

The previous prime is 52103. The next prime is 52121. The reversal of 52112 is 21125.

It is an interprime number because it is at equal distance from previous prime (52103) and next prime (52121).

It can be written as a sum of positive squares in only one way, i.e., 50176 + 1936 = 224^2 + 44^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 52093 and 52102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52112.

It is an unprimeable number.

52112 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 as a sum of consecutive naturals, namely, 1613 + ... + 1644.

2⁵²¹¹² is an apocalyptic number.

It is an amenable number.

52112 is a deficient number, since it is larger than the sum of its proper divisors (48886).

52112 is a wasteful number, since it uses less digits than its factorization.

52112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its digits is 20, while the sum is 11.

The square root of 52112 is about 228.2805291741. The cubic root of 52112 is about 37.3518898679.

Adding to 52112 its reverse (21125), we get a palindrome (73237).

The spelling of 52112 in words is "fifty-two thousand, one hundred twelve".