82733193 has 6 divisors (see below), whose sum is σ = 119503514. Its totient is φ = 55155456.

The previous prime is 82733129. The next prime is 82733197. The reversal of 82733193 is 39133728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 23011209 = 7728^2 + 4797^2 .

It is not a de Polignac number, because 82733193 - 2⁶ = 82733129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82733197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4596280 + ... + 4596297.

Almost surely, 2^82733193 is an apocalyptic number.

It is an amenable number.

82733193 is a deficient number, since it is larger than the sum of its proper divisors (36770321).

82733193 is a wasteful number, since it uses less digits than its factorization.

82733193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192583 (or 9192580 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 82733193 is about 9095.7788561508. The cubic root of 82733193 is about 435.7391634175.

The spelling of 82733193 in words is "eighty-two million, seven hundred thirty-three thousand, one hundred ninety-three".