4131000 has 192 divisors, whose sum is σ = 15331680. Its totient is φ = 1036800.

The previous prime is 4130977. The next prime is 4131031. The reversal of 4131000 is 1314.

4131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4131000² = 34130322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 242992 + ... + 243008.

Almost surely, 2^4131000 is an apocalyptic number.

4131000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

4131000 is an abundant number, since it is smaller than the sum of its proper divisors (11200680).

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

4131000 is a wasteful number, since it uses less digits than its factorization.

4131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4131000 is about 2032.4861623145. The cubic root of 4131000 is about 160.4544372372.

Adding to 4131000 its reverse (1314), we get a palindrome (4132314).

The spelling of 4131000 in words is "four million, one hundred thirty-one thousand".