4917952 has 56 divisors (see below), whose sum is σ = 11009376. Its totient is φ = 2162688.

The previous prime is 4917943. The next prime is 4917967. The reversal of 4917952 is 2597194.

4917952 = 129² + 130² + ... + 256².

It is a super-3 number, since 3×4917952³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19008 + ... + 19264.

It is an arithmetic number, because the mean of its divisors is an integer number (196596).

Almost surely, 2^4917952 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 4917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504688).

4917952 is an abundant number, since it is smaller than the sum of its proper divisors (6091424).

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

4917952 is a wasteful number, since it uses less digits than its factorization.

4917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 4917952 is about 2217.6455983768. The cubic root of 4917952 is about 170.0570973144.

The spelling of 4917952 in words is "four million, nine hundred seventeen thousand, nine hundred fifty-two".