4033964 has 24 divisors (see below), whose sum is σ = 8155728. Its totient is φ = 1725440.

The previous prime is 4033961. The next prime is 4033979. The reversal of 4033964 is 4693304.

It is a happy number.

4033964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949 + ... + 3444.

It is an arithmetic number, because the mean of its divisors is an integer number (339822).

Almost surely, 2^4033964 is an apocalyptic number.

4033964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4033964 is an abundant number, since it is smaller than the sum of its proper divisors (4121764).

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

4033964 is a wasteful number, since it uses less digits than its factorization.

4033964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 4033964 is about 2008.4730518481. The cubic root of 4033964 is about 159.1881269396.

The spelling of 4033964 in words is "four million, thirty-three thousand, nine hundred sixty-four".