4127265 has 24 divisors (see below), whose sum is σ = 7331688. Its totient is φ = 2146560.

The previous prime is 4127257. The next prime is 4127273. The reversal of 4127265 is 5627214.

It is an interprime number because it is at equal distance from previous prime (4127257) and next prime (4127273).

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 3968064 = 399^2 + 1992^2 .

It is not a de Polignac number, because 4127265 - 2³ = 4127257 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 727 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (305487).

Almost surely, 2^4127265 is an apocalyptic number.

4127265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4127265 is a deficient number, since it is larger than the sum of its proper divisors (3204423).

4127265 is a wasteful number, since it uses less digits than its factorization.

4127265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2286 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 4127265 is about 2031.5671290902. The cubic root of 4127265 is about 160.4060649278.

The spelling of 4127265 in words is "four million, one hundred twenty-seven thousand, two hundred sixty-five".