5192 has 16 divisors (see below), whose sum is σ = 10800. Its totient is φ = 2320.

The previous prime is 5189. The next prime is 5197. The reversal of 5192 is 2915.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 5192.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5192.

It is not an unprimeable number, because it can be changed into a prime (5197) 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, 59 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2⁵¹⁹² is an apocalyptic number.

5192 is the 59-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400).

5192 is an abundant number, since it is smaller than the sum of its proper divisors (5608).

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

5192 is a wasteful number, since it uses less digits than its factorization.

5192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 5192 is about 72.0555341386. The cubic root of 5192 is about 17.3158930431.

The spelling of 5192 in words is "five thousand, one hundred ninety-two".