4133988 has 18 divisors (see below), whose sum is σ = 10449894. Its totient is φ = 1377984.

The previous prime is 4133971. The next prime is 4134023. The reversal of 4133988 is 8893314.

4133988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2196324 + 1937664 = 1482^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 114833 = 4133988 / (4 + 1 + 3 + 3 + 9 + 8 + 8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57381 + ... + 57452.

Almost surely, 2^4133988 is an apocalyptic number.

It is an amenable number.

4133988 is an abundant number, since it is smaller than the sum of its proper divisors (6315906).

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

4133988 is a wasteful number, since it uses less digits than its factorization.

4133988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114843 (or 114838 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4133988 is about 2033.2210897982. The cubic root of 4133988 is about 160.4931140959.

The spelling of 4133988 in words is "four million, one hundred thirty-three thousand, nine hundred eighty-eight".