4133431 has 16 divisors (see below), whose sum is σ = 4700160. Its totient is φ = 3611520.

The previous prime is 4133419. The next prime is 4133449. The reversal of 4133431 is 1343314.

It is a de Polignac number, because none of the positive numbers 2^k-4133431 is a prime.

It is a super-4 number, since 4×4133431⁴ (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

4133431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4133399 and 4133408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133401) 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 15 ways as a sum of consecutive naturals, for example, 21546 + ... + 21736.

It is an arithmetic number, because the mean of its divisors is an integer number (293760).

Almost surely, 2^4133431 is an apocalyptic number.

4133431 is a deficient number, since it is larger than the sum of its proper divisors (566729).

4133431 is a wasteful number, since it uses less digits than its factorization.

4133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its digits is 432, while the sum is 19.

The square root of 4133431 is about 2033.0841104096. The cubic root of 4133431 is about 160.4859056667.

Adding to 4133431 its reverse (1343314), we get a palindrome (5476745).

It can be divided in two parts, 413 and 3431, that added together give a square (3844 = 62²).

The spelling of 4133431 in words is "four million, one hundred thirty-three thousand, four hundred thirty-one".