82242024 has 32 divisors (see below), whose sum is σ = 206178720. Its totient is φ = 27337536.

The previous prime is 82242011. The next prime is 82242029. The reversal of 82242024 is 42024228.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 82241985 and 82242003.

It is not an unprimeable number, because it can be changed into a prime (82242029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4359 + ... + 13545.

It is an arithmetic number, because the mean of its divisors is an integer number (6443085).

Almost surely, 2^82242024 is an apocalyptic number.

It is an amenable number.

82242024 is an abundant number, since it is smaller than the sum of its proper divisors (123936696).

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

82242024 is a wasteful number, since it uses less digits than its factorization.

82242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 82242024 is about 9068.7388318332. The cubic root of 82242024 is about 434.8751550833.

The spelling of 82242024 in words is "eighty-two million, two hundred forty-two thousand, twenty-four".