82729431 has 40 divisors (see below), whose sum is σ = 131115600. Its totient is φ = 51891840.

The previous prime is 82729379. The next prime is 82729441. The reversal of 82729431 is 13492728.

It is not a de Polignac number, because 82729431 - 2¹⁰ = 82728407 is a prime.

It is a super-2 number, since 2×82729431² = 13688317507167522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82729441) 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 39 ways as a sum of consecutive naturals, for example, 95880 + ... + 96738.

It is an arithmetic number, because the mean of its divisors is an integer number (3277890).

Almost surely, 2^82729431 is an apocalyptic number.

82729431 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82729431 is a deficient number, since it is larger than the sum of its proper divisors (48386169).

82729431 is a wasteful number, since it uses less digits than its factorization.

82729431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 932 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82729431 is about 9095.5720545769. The cubic root of 82729431 is about 435.7325587504.

The spelling of 82729431 in words is "eighty-two million, seven hundred twenty-nine thousand, four hundred thirty-one".