4131936 has 36 divisors (see below), whose sum is σ = 11751012. Its totient is φ = 1377216.

The previous prime is 4131923. The next prime is 4131961. The reversal of 4131936 is 6391314.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6886 + ... + 7461.

It is an arithmetic number, because the mean of its divisors is an integer number (326417).

Almost surely, 2^4131936 is an apocalyptic number.

It is an amenable number.

4131936 is an abundant number, since it is smaller than the sum of its proper divisors (7619076).

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

4131936 is a wasteful number, since it uses less digits than its factorization.

4131936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14363 (or 14352 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4131936 is about 2032.7164091432. The cubic root of 4131936 is about 160.4665548852.

The spelling of 4131936 in words is "four million, one hundred thirty-one thousand, nine hundred thirty-six".