82733841 has 12 divisors (see below), whose sum is σ = 119596932. Its totient is φ = 55113216.

The previous prime is 82733821. The next prime is 82733851. The reversal of 82733841 is 14833728.

82733841 is a `hidden beast` number, since 8 + 273 + 384 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45279441 + 37454400 = 6729^2 + 6120^2 .

It is not a de Polignac number, because 82733841 - 2¹³ = 82725649 is a prime.

It is a super-2 number, since 2×82733841² = 13689776893226562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82733796 and 82733805.

It is not an unprimeable number, because it can be changed into a prime (82733801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12565 + ... + 17981.

It is an arithmetic number, because the mean of its divisors is an integer number (9966411).

Almost surely, 2^82733841 is an apocalyptic number.

It is an amenable number.

82733841 is a deficient number, since it is larger than the sum of its proper divisors (36863091).

82733841 is a wasteful number, since it uses less digits than its factorization.

82733841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7117 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 82733841 is about 9095.8144769998. The cubic root of 82733841 is about 435.7403010433.

The spelling of 82733841 in words is "eighty-two million, seven hundred thirty-three thousand, eight hundred forty-one".