4127004 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1145664.

The previous prime is 4127003. The next prime is 4127021. The reversal of 4127004 is 4007214.

It is a happy number.

4127004 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40017 + ... + 40119.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^4127004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4127004 is an abundant number, since it is smaller than the sum of its proper divisors (8452836).

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

4127004 is a wasteful number, since it uses less digits than its factorization.

4127004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4127004 is about 2031.5028919497. The cubic root of 4127004 is about 160.4026836034.

The spelling of 4127004 in words is "four million, one hundred twenty-seven thousand, four".