127760113 has 6 divisors (see below), whose sum is σ = 138343974. Its totient is φ = 117932256.

The previous prime is 127760093. The next prime is 127760119. The reversal of 127760113 is 311067721.

127760113 = 7992² + 7993².

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 127757809 = 48^2 + 11303^2 .

It is not a de Polignac number, because 127760113 - 2⁵ = 127760081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127760119) 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, 377820 + ... + 378157.

It is an arithmetic number, because the mean of its divisors is an integer number (23057329).

Almost surely, 2^127760113 is an apocalyptic number.

127760113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

127760113 is the 7993-rd centered square number.

It is an amenable number.

127760113 is a deficient number, since it is larger than the sum of its proper divisors (10583861).

127760113 is an equidigital number, since it uses as much as digits as its factorization.

127760113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756003 (or 755990 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 127760113 is about 11303.1019193848. The cubic root of 127760113 is about 503.6533911163.

The spelling of 127760113 in words is "one hundred twenty-seven million, seven hundred sixty thousand, one hundred thirteen".