4127121 has 6 divisors (see below), whose sum is σ = 5961410. Its totient is φ = 2751408.

The previous prime is 4127111. The next prime is 4127131. The reversal of 4127121 is 1217214.

It is an interprime number because it is at equal distance from previous prime (4127111) and next prime (4127131).

It can be written as a sum of positive squares in only one way, i.e., 2772225 + 1354896 = 1665^2 + 1164^2 .

It is not a de Polignac number, because 4127121 - 2¹⁸ = 3864977 is a prime.

It is a super-3 number, since 3×4127121³ (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4127094 and 4127103.

It is not an unprimeable number, because it can be changed into a prime (4127111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 229276 + ... + 229293.

Almost surely, 2^4127121 is an apocalyptic number.

It is an amenable number.

4127121 is a deficient number, since it is larger than the sum of its proper divisors (1834289).

4127121 is a wasteful number, since it uses less digits than its factorization.

4127121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458575 (or 458572 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 4127121 is about 2031.5316881604. The cubic root of 4127121 is about 160.4041993872.

The spelling of 4127121 in words is "four million, one hundred twenty-seven thousand, one hundred twenty-one".