82125121 has 16 divisors (see below), whose sum is σ = 90849024. Its totient is φ = 73764864.

The previous prime is 82125119. The next prime is 82125133. The reversal of 82125121 is 12152128.

It is a cyclic number.

It is not a de Polignac number, because 82125121 - 2¹ = 82125119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82125092 and 82125101.

It is not an unprimeable number, because it can be changed into a prime (82125721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156766 + ... + 157288.

It is an arithmetic number, because the mean of its divisors is an integer number (5678064).

Almost surely, 2^82125121 is an apocalyptic number.

It is an amenable number.

82125121 is a deficient number, since it is larger than the sum of its proper divisors (8723903).

82125121 is a wasteful number, since it uses less digits than its factorization.

82125121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840.

The product of its digits is 320, while the sum is 22.

The square root of 82125121 is about 9062.2911562143. The cubic root of 82125121 is about 434.6690061469.

Adding to 82125121 its reverse (12152128), we get a palindrome (94277249).

The spelling of 82125121 in words is "eighty-two million, one hundred twenty-five thousand, one hundred twenty-one".