82782431 has 8 divisors (see below), whose sum is σ = 87763584. Its totient is φ = 77945760.

The previous prime is 82782421. The next prime is 82782473. The reversal of 82782431 is 13428728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82782431 is a prime.

It is a super-2 number, since 2×82782431² = 13705861764539522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82782391 and 82782400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82782421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34940 + ... + 37233.

It is an arithmetic number, because the mean of its divisors is an integer number (10970448).

Almost surely, 2^82782431 is an apocalyptic number.

82782431 is a deficient number, since it is larger than the sum of its proper divisors (4981153).

82782431 is a wasteful number, since it uses less digits than its factorization.

82782431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72241.

The product of its digits is 21504, while the sum is 35.

The square root of 82782431 is about 9098.4850936846. The cubic root of 82782431 is about 435.8255885040.

The spelling of 82782431 in words is "eighty-two million, seven hundred eighty-two thousand, four hundred thirty-one".