80832593 has 18 divisors (see below), whose sum is σ = 88529922. Its totient is φ = 73789920.

The previous prime is 80832589. The next prime is 80832601. The reversal of 80832593 is 39523808.

It can be written as a sum of positive squares in only one way, i.e., 58629649 + 22202944 = 7657^2 + 4712^2 .

It is not a de Polignac number, because 80832593 - 2² = 80832589 is a prime.

It is a super-4 number, since 4×80832593⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80832523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 346805 + ... + 347037.

It is an arithmetic number, because the mean of its divisors is an integer number (4918329).

Almost surely, 2^80832593 is an apocalyptic number.

It is an amenable number.

80832593 is a deficient number, since it is larger than the sum of its proper divisors (7697329).

80832593 is a wasteful number, since it uses less digits than its factorization.

80832593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 80832593 is about 8990.6948007370. The cubic root of 80832593 is about 432.3765881303.

The spelling of 80832593 in words is "eighty million, eight hundred thirty-two thousand, five hundred ninety-three".