82180237 has 8 divisors (see below), whose sum is σ = 84069272. Its totient is φ = 80308800.

The previous prime is 82180211. The next prime is 82180271. The reversal of 82180237 is 73208128.

It can be written as a sum of positive squares in 4 ways, for example, as 12524521 + 69655716 = 3539^2 + 8346^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82180237 - 2¹¹ = 82178189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82180199 and 82180208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82180207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5287 + ... + 13867.

It is an arithmetic number, because the mean of its divisors is an integer number (10508659).

Almost surely, 2^82180237 is an apocalyptic number.

It is an amenable number.

82180237 is a deficient number, since it is larger than the sum of its proper divisors (1889035).

82180237 is a wasteful number, since it uses less digits than its factorization.

82180237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 82180237 is about 9065.3315990095. The cubic root of 82180237 is about 434.7662230896.

The spelling of 82180237 in words is "eighty-two million, one hundred eighty thousand, two hundred thirty-seven".