82134020 has 12 divisors (see below), whose sum is σ = 172481484. Its totient is φ = 32853600.

The previous prime is 82133993. The next prime is 82134037. The reversal of 82134020 is 2043128.

It can be written as a sum of positive squares in 2 ways, for example, as 64224196 + 17909824 = 8014^2 + 4232^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4106701 = 82134020 / (8 + 2 + 1 + 3 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 82133983 and 82134001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2053331 + ... + 2053370.

It is an arithmetic number, because the mean of its divisors is an integer number (14373457).

Almost surely, 2^82134020 is an apocalyptic number.

It is an amenable number.

82134020 is an abundant number, since it is smaller than the sum of its proper divisors (90347464).

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

82134020 is a wasteful number, since it uses less digits than its factorization.

82134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106710 (or 4106708 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 82134020 is about 9062.7821335393. The cubic root of 82134020 is about 434.6847056866.

Adding to 82134020 its reverse (2043128), we get a palindrome (84177148).

The spelling of 82134020 in words is "eighty-two million, one hundred thirty-four thousand, twenty".