4917216 has 96 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 1464320.

The previous prime is 4917203. The next prime is 4917217. The reversal of 4917216 is 6127194.

4917216 = T₃ + T₄ + ... + T₃₀₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4917217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37471 + ... + 37601.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

Almost surely, 2^4917216 is an apocalyptic number.

4917216 is a gapful number since it is divisible by the number (46) 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 4917216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

4917216 is an abundant number, since it is smaller than the sum of its proper divisors (9452832).

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

4917216 is a wasteful number, since it uses less digits than its factorization.

4917216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 4917216 is about 2217.4796504140. The cubic root of 4917216 is about 170.0486135480.

The spelling of 4917216 in words is "four million, nine hundred seventeen thousand, two hundred sixteen".