82528353 has 12 divisors (see below), whose sum is σ = 126220068. Its totient is φ = 51782400.

The previous prime is 82528349. The next prime is 82528357. The reversal of 82528353 is 35382528.

82528353 is a `hidden beast` number, since 82 + 528 + 3 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (82528349) and next prime (82528357).

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 36397089 = 6792^2 + 6033^2 .

It is not a de Polignac number, because 82528353 - 2² = 82528349 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82528357) 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, 269548 + ... + 269853.

It is an arithmetic number, because the mean of its divisors is an integer number (10518339).

Almost surely, 2^82528353 is an apocalyptic number.

It is an amenable number.

82528353 is a deficient number, since it is larger than the sum of its proper divisors (43691715).

82528353 is a wasteful number, since it uses less digits than its factorization.

82528353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539424 (or 539421 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 82528353 is about 9084.5117094977. The cubic root of 82528353 is about 435.3792491257.

The spelling of 82528353 in words is "eighty-two million, five hundred twenty-eight thousand, three hundred fifty-three".