4967936 has 40 divisors (see below), whose sum is σ = 10279104. Its totient is φ = 2396160.

The previous prime is 4967933. The next prime is 4967969. The reversal of 4967936 is 6397694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967933) 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, 15716 + ... + 16028.

Almost surely, 2^4967936 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 4967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139552).

4967936 is an abundant number, since it is smaller than the sum of its proper divisors (5311168).

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

4967936 is an equidigital number, since it uses as much as digits as its factorization.

4967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its digits is 244944, while the sum is 44.

The square root of 4967936 is about 2228.8867176238. The cubic root of 4967936 is about 170.6312860686.

It can be divided in two parts, 496 and 7936, that multiplied together give a square (3936256 = 1984²).

The spelling of 4967936 in words is "four million, nine hundred sixty-seven thousand, nine hundred thirty-six".