82005053 has 12 divisors (see below), whose sum is σ = 89054388. Its totient is φ = 75479040.

The previous prime is 82005041. The next prime is 82005089. The reversal of 82005053 is 35050028.

It can be written as a sum of positive squares in 6 ways, for example, as 770884 + 81234169 = 878^2 + 9013^2 .

It is not a de Polignac number, because 82005053 - 2⁴ = 82005037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107951 + ... + 108707.

It is an arithmetic number, because the mean of its divisors is an integer number (7421199).

Almost surely, 2^82005053 is an apocalyptic number.

It is an amenable number.

82005053 is a deficient number, since it is larger than the sum of its proper divisors (7049335).

82005053 is a wasteful number, since it uses less digits than its factorization.

82005053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 82005053 is about 9055.6641390900. The cubic root of 82005053 is about 434.4570722411.

The spelling of 82005053 in words is "eighty-two million, five thousand, fifty-three".