82605237 has 16 divisors (see below), whose sum is σ = 129396288. Its totient is φ = 46212480.

The previous prime is 82605233. The next prime is 82605239. The reversal of 82605237 is 73250628.

It is not a de Polignac number, because 82605237 - 2² = 82605233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 82605198 and 82605207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82605233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95848 + ... + 96705.

It is an arithmetic number, because the mean of its divisors is an integer number (8087268).

Almost surely, 2^82605237 is an apocalyptic number.

It is an amenable number.

82605237 is a deficient number, since it is larger than the sum of its proper divisors (46791051).

82605237 is a wasteful number, since it uses less digits than its factorization.

82605237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192580.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 82605237 is about 9088.7423222358. The cubic root of 82605237 is about 435.5144079633.

The spelling of 82605237 in words is "eighty-two million, six hundred five thousand, two hundred thirty-seven".