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52312 = 2313503

52312 has 16 divisors (see below), whose sum is σ = 105840. Its totient is φ = 24096.

The previous prime is 52301. The next prime is 52313. The reversal of 52312 is 21325.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 52292 and 52301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52313) by changing a digit.

52312 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 in 3 ways as a sum of consecutive naturals, for example, 148 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

252312 is an apocalyptic number.

52312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

52312 is an abundant number, since it is smaller than the sum of its proper divisors (53528).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

52312 is a wasteful number, since it uses less digits than its factorization.

52312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 52312 is about 228.7181671840. The cubic root of 52312 is about 37.3996129865.

Adding to 52312 its sum of digits (13), we get a palindrome (52325).

Adding to 52312 its reverse (21325), we get a palindrome (73637).

It can be divided in two parts, 523 and 12, that added together give a palindrome (535).

The spelling of 52312 in words is "fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 503 1006 2012 4024 6539 13078 26156 52312