77127 has 8 divisors (see below), whose sum is σ = 105216. Its totient is φ = 50232.

The previous prime is 77101. The next prime is 77137. The reversal of 77127 is 72177.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77127 - 2⁸ = 76871 is a prime.

77127 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 77097 and 77106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (13152).

2⁷⁷¹²⁷ is an apocalyptic number.

77127 is a deficient number, since it is larger than the sum of its proper divisors (28089).

77127 is a wasteful number, since it uses less digits than its factorization.

77127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its digits is 686, while the sum is 24.

The square root of 77127 is about 277.7174823449. The cubic root of 77127 is about 42.5665853600.

Subtracting from 77127 its reverse (72177), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 77 and 127, that multiplied together give a palindrome (9779).

The spelling of 77127 in words is "seventy-seven thousand, one hundred twenty-seven", and thus it is an iban number.