5171968 has 36 divisors (see below), whose sum is σ = 10485720. Its totient is φ = 2545664.

The previous prime is 5171963. The next prime is 5171981. The reversal of 5171968 is 8691715.

It is not an unprimeable number, because it can be changed into a prime (5171963) 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, 22671 + ... + 22897.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 2^5171968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242860).

5171968 is an abundant number, since it is smaller than the sum of its proper divisors (5313752).

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

5171968 is an equidigital number, since it uses as much as digits as its factorization.

5171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The square root of 5171968 is about 2274.1961217098. The cubic root of 5171968 is about 172.9359469736.

It can be divided in two parts, 517 and 1968, that added together give a triangular number (2485 = T₇₀).

The spelling of 5171968 in words is "five million, one hundred seventy-one thousand, nine hundred sixty-eight".