82135540 has 24 divisors (see below), whose sum is σ = 178433640. Its totient is φ = 31721088.

The previous prime is 82135481. The next prime is 82135541. The reversal of 82135540 is 4553128.

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 75134224 = 2646^2 + 8668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82135499 and 82135508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82135541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70227 + ... + 71386.

It is an arithmetic number, because the mean of its divisors is an integer number (7434735).

Almost surely, 2^82135540 is an apocalyptic number.

It is an amenable number.

82135540 is an abundant number, since it is smaller than the sum of its proper divisors (96298100).

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

82135540 is a wasteful number, since it uses less digits than its factorization.

82135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141651 (or 141649 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 82135540 is about 9062.8659926096. The cubic root of 82135540 is about 434.6873871442.

Adding to 82135540 its reverse (4553128), we get a palindrome (86688668).

The spelling of 82135540 in words is "eighty-two million, one hundred thirty-five thousand, five hundred forty".