82352430 has 64 divisors (see below), whose sum is σ = 226713600. Its totient is φ = 21250080.

The previous prime is 82352423. The next prime is 82352497. The reversal of 82352430 is 3425328.

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

It is a junction number, because it is equal to n+sod(n) for n = 82352394 and 82352403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3451 + ... + 13289.

It is an arithmetic number, because the mean of its divisors is an integer number (3542400).

Almost surely, 2^82352430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82352430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113356800).

82352430 is an abundant number, since it is smaller than the sum of its proper divisors (144361170).

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

82352430 is a wasteful number, since it uses less digits than its factorization.

82352430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 82352430 is about 9074.8239652348. The cubic root of 82352430 is about 435.0696677953.

Adding to 82352430 its reverse (3425328), we get a palindrome (85777758).

The spelling of 82352430 in words is "eighty-two million, three hundred fifty-two thousand, four hundred thirty".