82824084 has 36 divisors (see below), whose sum is σ = 239270304. Its totient is φ = 23663952.

The previous prime is 82824083. The next prime is 82824101. The reversal of 82824084 is 48042828.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82824083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164082 + ... + 164585.

Almost surely, 2^82824084 is an apocalyptic number.

82824084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82824084 is an abundant number, since it is smaller than the sum of its proper divisors (156446220).

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

82824084 is a wasteful number, since it uses less digits than its factorization.

82824084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328684 (or 328679 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 82824084 is about 9100.7738132535. The cubic root of 82824084 is about 435.8986732522.

The spelling of 82824084 in words is "eighty-two million, eight hundred twenty-four thousand, eighty-four".