127917 has 12 divisors (see below), whose sum is σ = 188604. Its totient is φ = 83520.

The previous prime is 127913. The next prime is 127921. The reversal of 127917 is 719721.

It is an interprime number because it is at equal distance from previous prime (127913) and next prime (127921).

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 114921 = 114^2 + 339^2 .

It is not a de Polignac number, because 127917 - 2² = 127913 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (15717).

2¹²⁷⁹¹⁷ is an apocalyptic number.

It is an amenable number.

127917 is a deficient number, since it is larger than the sum of its proper divisors (60687).

127917 is a wasteful number, since it uses less digits than its factorization.

127917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 127917 is about 357.6548615635. The cubic root of 127917 is about 50.3859465730.

It can be divided in two parts, 1279 and 17, that added together give a 4-th power (1296 = 6⁴).

The spelling of 127917 in words is "one hundred twenty-seven thousand, nine hundred seventeen".