82125135 has 12 divisors (see below), whose sum is σ = 142350312. Its totient is φ = 43800048.

The previous prime is 82125133. The next prime is 82125139. The reversal of 82125135 is 53152128.

It is a happy number.

It is not a de Polignac number, because 82125135 - 2¹ = 82125133 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82125099 and 82125108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82125133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912457 + ... + 912546.

It is an arithmetic number, because the mean of its divisors is an integer number (11862526).

Almost surely, 2^82125135 is an apocalyptic number.

82125135 is a deficient number, since it is larger than the sum of its proper divisors (60225177).

82125135 is a wasteful number, since it uses less digits than its factorization.

82125135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825014 (or 1825011 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 82125135 is about 9062.2919286459. The cubic root of 82125135 is about 434.6690308465.

The spelling of 82125135 in words is "eighty-two million, one hundred twenty-five thousand, one hundred thirty-five".