82073430 has 96 divisors (see below), whose sum is σ = 230031360. Its totient is φ = 20243520.

The previous prime is 82073429. The next prime is 82073441. The reversal of 82073430 is 3437028.

It is a junction number, because it is equal to n+sod(n) for n = 82073394 and 82073403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63531 + ... + 64809.

It is an arithmetic number, because the mean of its divisors is an integer number (2396160).

Almost surely, 2^82073430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82073430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115015680).

82073430 is an abundant number, since it is smaller than the sum of its proper divisors (147957930).

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

82073430 is a wasteful number, since it uses less digits than its factorization.

82073430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82073430 is about 9059.4387243361. The cubic root of 82073430 is about 434.5777908932.

The spelling of 82073430 in words is "eighty-two million, seventy-three thousand, four hundred thirty".