82514432 has 240 divisors, whose sum is σ = 235109952. Its totient is φ = 28385280.

The previous prime is 82514429. The next prime is 82514437. The reversal of 82514432 is 23441528.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82514395 and 82514404.

It is not an unprimeable number, because it can be changed into a prime (82514437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3587573 + ... + 3587595.

Almost surely, 2^82514432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

82514432 is an abundant number, since it is smaller than the sum of its proper divisors (152595520).

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

82514432 is a wasteful number, since it uses less digits than its factorization.

82514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 82514432 is about 9083.7454830042. The cubic root of 82514432 is about 435.3547676187.

The spelling of 82514432 in words is "eighty-two million, five hundred fourteen thousand, four hundred thirty-two".