4135936 has 44 divisors (see below), whose sum is σ = 9465328. Its totient is φ = 1769472.

The previous prime is 4135933. The next prime is 4135987. The reversal of 4135936 is 6395314.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4135898 and 4135907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135933) 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, 6880 + ... + 7456.

Almost surely, 2^4135936 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 4135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732664).

4135936 is an abundant number, since it is smaller than the sum of its proper divisors (5329392).

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

4135936 is an equidigital number, since it uses as much as digits as its factorization.

4135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 586 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 4135936 is about 2033.7000762158. The cubic root of 4135936 is about 160.5183190951.

The spelling of 4135936 in words is "four million, one hundred thirty-five thousand, nine hundred thirty-six".