4973936 has 40 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 2217920.

The previous prime is 4973929. The next prime is 4973959. The reversal of 4973936 is 6393794.

4973936 = T₁₄₃ + T₁₄₄ + ... + T₃₁₉.

It is a junction number, because it is equal to n+sod(n) for n = 4973893 and 4973902.

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, 10145 + ... + 10623.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^4973936 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 4973936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

4973936 is an abundant number, since it is smaller than the sum of its proper divisors (5739664).

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

4973936 is a wasteful number, since it uses less digits than its factorization.

4973936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its digits is 122472, while the sum is 41.

The square root of 4973936 is about 2230.2322748987. The cubic root of 4973936 is about 170.6999514617.

The spelling of 4973936 in words is "four million, nine hundred seventy-three thousand, nine hundred thirty-six".