82042500 has 60 divisors (see below), whose sum is σ = 239235920. Its totient is φ = 21876000.

The previous prime is 82042489. The next prime is 82042501. The reversal of 82042500 is 524028.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (82042501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2031 + ... + 12969.

Almost surely, 2^82042500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119617960).

82042500 is an abundant number, since it is smaller than the sum of its proper divisors (157193420).

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

82042500 is a wasteful number, since it uses less digits than its factorization.

82042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 82042500 is about 9057.7315040798. The cubic root of 82042500 is about 434.5231927123.

Adding to 82042500 its reverse (524028), we get a palindrome (82566528).

The spelling of 82042500 in words is "eighty-two million, forty-two thousand, five hundred".