82545345 has 32 divisors (see below), whose sum is σ = 147133440. Its totient is φ = 43908480.

The previous prime is 82545317. The next prime is 82545347. The reversal of 82545345 is 54354528.

82545345 is a `hidden beast` number, since 82 + 545 + 34 + 5 = 666.

It is not a de Polignac number, because 82545345 - 2¹⁰ = 82544321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82545347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82800 + ... + 83790.

It is an arithmetic number, because the mean of its divisors is an integer number (4597920).

Almost surely, 2^82545345 is an apocalyptic number.

It is an amenable number.

82545345 is a deficient number, since it is larger than the sum of its proper divisors (64588095).

82545345 is a wasteful number, since it uses less digits than its factorization.

82545345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1616 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 82545345 is about 9085.4468794881. The cubic root of 82545345 is about 435.4091275705.

The spelling of 82545345 in words is "eighty-two million, five hundred forty-five thousand, three hundred forty-five".