82735821 has 48 divisors (see below), whose sum is σ = 146899584. Its totient is φ = 43794432.

The previous prime is 82735817. The next prime is 82735841. The reversal of 82735821 is 12853728.

82735821 is a `hidden beast` number, since 8 + 2 + 73 + 582 + 1 = 666.

It is not a de Polignac number, because 82735821 - 2² = 82735817 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82735841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71181 + ... + 72333.

It is an arithmetic number, because the mean of its divisors is an integer number (3060408).

Almost surely, 2^82735821 is an apocalyptic number.

It is an amenable number.

82735821 is a deficient number, since it is larger than the sum of its proper divisors (64163763).

82735821 is a wasteful number, since it uses less digits than its factorization.

82735821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1247 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82735821 is about 9095.9233176187. The cubic root of 82735821 is about 435.7437770852.

The spelling of 82735821 in words is "eighty-two million, seven hundred thirty-five thousand, eight hundred twenty-one".