82727037 has 6 divisors (see below), whose sum is σ = 119494622. Its totient is φ = 55151352.

The previous prime is 82727023. The next prime is 82727063. The reversal of 82727037 is 73072728.

It can be written as a sum of positive squares in only one way, i.e., 65512836 + 17214201 = 8094^2 + 4149^2 .

It is not a de Polignac number, because 82727037 - 2¹⁹ = 82202749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82726992 and 82727010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82727017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4595938 + ... + 4595955.

Almost surely, 2^82727037 is an apocalyptic number.

It is an amenable number.

82727037 is a deficient number, since it is larger than the sum of its proper divisors (36767585).

82727037 is a wasteful number, since it uses less digits than its factorization.

82727037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191899 (or 9191896 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 82727037 is about 9095.4404511271. The cubic root of 82727037 is about 435.7283556762.

The spelling of 82727037 in words is "eighty-two million, seven hundred twenty-seven thousand, thirty-seven".