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53412 = 2234451

53412 has 12 divisors (see below), whose sum is σ = 124656. Its totient is φ = 17800.

The previous prime is 53411. The next prime is 53419. The reversal of 53412 is 21435.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 53391 and 53400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53412.

It is not an unprimeable number, because it can be changed into a prime (53411) 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, 2214 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (10388).

253412 is an apocalyptic number.

It is an amenable number.

53412 is an abundant number, since it is smaller than the sum of its proper divisors (71244).

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 (62328).

53412 is a wasteful number, since it uses less digits than its factorization.

53412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4456 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 53412 is about 231.1103632467. The cubic root of 53412 is about 37.6599391053.

Adding to 53412 its reverse (21435), we get a palindrome (74847).

It can be divided in two parts, 53 and 412, that added together give a triangular number (465 = T30).

The spelling of 53412 in words is "fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 4451 8902 13353 17804 26706 53412