82536405 has 16 divisors (see below), whose sum is σ = 150923904. Its totient is φ = 37730880.

The previous prime is 82536401. The next prime is 82536431. The reversal of 82536405 is 50463528.

It is not a de Polignac number, because 82536405 - 2² = 82536401 is a prime.

It is a super-4 number, since 4×82536405⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82536401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392926 + ... + 393135.

It is an arithmetic number, because the mean of its divisors is an integer number (9432744).

Almost surely, 2^82536405 is an apocalyptic number.

It is an amenable number.

82536405 is a deficient number, since it is larger than the sum of its proper divisors (68387499).

82536405 is a wasteful number, since it uses less digits than its factorization.

82536405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786076.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 82536405 is about 9084.9548705538. The cubic root of 82536405 is about 435.3934081372.

The spelling of 82536405 in words is "eighty-two million, five hundred thirty-six thousand, four hundred five".