5317312 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1889280.

The previous prime is 5317303. The next prime is 5317327. The reversal of 5317312 is 2137135.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (630) is a multiple of the sum of its prime factors (126).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 64023 + ... + 64105.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^5317312 is an apocalyptic number.

5317312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

5317312 is an abundant number, since it is smaller than the sum of its proper divisors (9020480).

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

5317312 is a wasteful number, since it uses less digits than its factorization.

5317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 630, while the sum is 22.

The square root of 5317312 is about 2305.9297474121. The cubic root of 5317312 is about 174.5409684243.

The spelling of 5317312 in words is "five million, three hundred seventeen thousand, three hundred twelve".