82013127 has 32 divisors (see below), whose sum is σ = 130598400. Its totient is φ = 44800128.

The previous prime is 82013119. The next prime is 82013137. The reversal of 82013127 is 72131028.

It is not a de Polignac number, because 82013127 - 2³ = 82013119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82013097 and 82013106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44949 + ... + 46737.

It is an arithmetic number, because the mean of its divisors is an integer number (4081200).

Almost surely, 2^82013127 is an apocalyptic number.

82013127 is a deficient number, since it is larger than the sum of its proper divisors (48585273).

82013127 is a wasteful number, since it uses less digits than its factorization.

82013127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 82013127 is about 9056.1099264530. The cubic root of 82013127 is about 434.4713302702.

The spelling of 82013127 in words is "eighty-two million, thirteen thousand, one hundred twenty-seven".