5292 has 36 divisors (see below), whose sum is σ = 15960. Its totient is φ = 1512.

The previous prime is 5281. The next prime is 5297. The reversal of 5292 is 2925.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (180) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5297) by changing a digit.

5292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a Kaprekar number, because its square (28005264) can be partitioned into two parts whose sum is 5292.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 759.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980).

5292 is an abundant number, since it is smaller than the sum of its proper divisors (10668).

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

5292 is a wasteful number, since it uses less digits than its factorization.

5292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 12 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 5292 is about 72.7461339179. The cubic root of 5292 is about 17.4263572007.

It can be divided in two parts, 52 and 92, that added together give a square (144 = 12^{2}).

The spelling of 5292 in words is "five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292

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