127413 has 30 divisors (see below), whose sum is σ = 225302. Its totient is φ = 71280.

The previous prime is 127403. The next prime is 127423. The reversal of 127413 is 314721.

It is an interprime number because it is at equal distance from previous prime (127403) and next prime (127423).

It can be written as a sum of positive squares in only one way, i.e., 88209 + 39204 = 297^2 + 198^2 .

It is not a de Polignac number, because 127413 - 2⁸ = 127157 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 127413.

It is not an unprimeable number, because it can be changed into a prime (127403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9795 + ... + 9807.

2¹²⁷⁴¹³ is an apocalyptic number.

127413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127413 is a deficient number, since it is larger than the sum of its proper divisors (97889).

127413 is a wasteful number, since it uses less digits than its factorization.

127413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 127413 is about 356.9495762709. The cubic root of 127413 is about 50.3196850071.

The spelling of 127413 in words is "one hundred twenty-seven thousand, four hundred thirteen".