82305504 has 48 divisors (see below), whose sum is σ = 240060240. Its totient is φ = 27434880.

The previous prime is 82305499. The next prime is 82305571. The reversal of 82305504 is 40550328.

82305504 is a `hidden beast` number, since 82 + 30 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46767 + ... + 48494.

It is an arithmetic number, because the mean of its divisors is an integer number (5001255).

Almost surely, 2^82305504 is an apocalyptic number.

It is an amenable number.

82305504 is an abundant number, since it is smaller than the sum of its proper divisors (157754736).

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

82305504 is a wasteful number, since it uses less digits than its factorization.

82305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95280 (or 95266 counting only the distinct ones).

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

The square root of 82305504 is about 9072.2380921138. The cubic root of 82305504 is about 434.9870150702.

The spelling of 82305504 in words is "eighty-two million, three hundred five thousand, five hundred four".