83127 has 12 divisors (see below), whose sum is σ = 122360. Its totient is φ = 50160.

The previous prime is 83117. The next prime is 83137. The reversal of 83127 is 72138.

It is an interprime number because it is at equal distance from previous prime (83117) and next prime (83137).

It is not a de Polignac number, because 83127 - 2⁶ = 83063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83117) 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, 249 + ... + 477.

2⁸³¹²⁷ is an apocalyptic number.

83127 is a deficient number, since it is larger than the sum of its proper divisors (39233).

83127 is a wasteful number, since it uses less digits than its factorization.

83127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 83127 is about 288.3175332858. The cubic root of 83127 is about 43.6429436889.

It can be divided in two parts, 831 and 27, that added together give a palindrome (858).

The spelling of 83127 in words is "eighty-three thousand, one hundred twenty-seven".