82732893 has 16 divisors (see below), whose sum is σ = 114240000. Its totient is φ = 53202240.

The previous prime is 82732883. The next prime is 82732901. The reversal of 82732893 is 39823728.

It is not a de Polignac number, because 82732893 - 2¹⁸ = 82470749 is a prime.

It is a super-3 number, since 3×82732893³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82732843) 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 15 ways as a sum of consecutive naturals, for example, 31183 + ... + 33731.

It is an arithmetic number, because the mean of its divisors is an integer number (7140000).

Almost surely, 2^82732893 is an apocalyptic number.

It is an amenable number.

82732893 is a deficient number, since it is larger than the sum of its proper divisors (31507107).

82732893 is a wasteful number, since it uses less digits than its factorization.

82732893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932.

The product of its digits is 145152, while the sum is 42.

The square root of 82732893 is about 9095.7623649697. The cubic root of 82732893 is about 435.7386367369.

The spelling of 82732893 in words is "eighty-two million, seven hundred thirty-two thousand, eight hundred ninety-three".