82100025 has 36 divisors (see below), whose sum is σ = 168060672. Its totient is φ = 37530720.

The previous prime is 82100009. The next prime is 82100027. The reversal of 82100025 is 52000128.

It is not a de Polignac number, because 82100025 - 2⁴ = 82100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82099980 and 82100007.

It is not an unprimeable number, because it can be changed into a prime (82100027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24489 + ... + 27638.

It is an arithmetic number, because the mean of its divisors is an integer number (4668352).

Almost surely, 2^82100025 is an apocalyptic number.

It is an amenable number.

82100025 is an abundant number, since it is smaller than the sum of its proper divisors (85960647).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82100025 is a wasteful number, since it uses less digits than its factorization.

82100025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52150 (or 52142 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 82100025 is about 9060.9064116125. The cubic root of 82100025 is about 434.6247258887.

The spelling of 82100025 in words is "eighty-two million, one hundred thousand, twenty-five".