127127 has 16 divisors (see below), whose sum is σ = 172032. Its totient is φ = 90720.

The previous prime is 127123. The next prime is 127133. The reversal of 127127 is 721721.

127127 is nontrivially palindromic in base 3.

It is not a de Polignac number, because 127127 - 2² = 127123 is a prime.

It is a super-2 number, since 2×127127² = 32322548258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127099 and 127108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2¹²⁷¹²⁷ is an apocalyptic number.

127127 is a deficient number, since it is larger than the sum of its proper divisors (44905).

127127 is a wasteful number, since it uses less digits than its factorization.

127127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its digits is 196, while the sum is 20.

The square root of 127127 is about 356.5487343969. The cubic root of 127127 is about 50.2820064569.

Adding to 127127 its reverse (721721), we get a palindrome (848848).

The spelling of 127127 in words is "one hundred twenty-seven thousand, one hundred twenty-seven", and thus it is an iban number.