82535400 has 72 divisors (see below), whose sum is σ = 277187430. Its totient is φ = 22008960.

The previous prime is 82535381. The next prime is 82535407. The reversal of 82535400 is 453528.

82535400 is a `hidden beast` number, since 8 + 253 + 5 + 400 = 666.

82535400 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 77686596 + 4848804 = 8814^2 + 2202^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (82535407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21127 + ... + 24726.

Almost surely, 2^82535400 is an apocalyptic number.

It is an amenable number.

82535400 is an abundant number, since it is smaller than the sum of its proper divisors (194652030).

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

82535400 is a wasteful number, since it uses less digits than its factorization.

82535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45875 (or 45863 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82535400 is about 9084.8995591586. The cubic root of 82535400 is about 435.3916409488.

Adding to 82535400 its reverse (453528), we get a palindrome (82988928).

The spelling of 82535400 in words is "eighty-two million, five hundred thirty-five thousand, four hundred".