82626307 has 16 divisors (see below), whose sum is σ = 95277600. Its totient is φ = 71124480.

The previous prime is 82626289. The next prime is 82626317. The reversal of 82626307 is 70362628.

It is a cyclic number.

It is not a de Polignac number, because 82626307 - 2²³ = 74237699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82626317) 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 15 ways as a sum of consecutive naturals, for example, 4957 + ... + 13777.

It is an arithmetic number, because the mean of its divisors is an integer number (5954850).

Almost surely, 2^82626307 is an apocalyptic number.

82626307 is a deficient number, since it is larger than the sum of its proper divisors (12651293).

82626307 is a wasteful number, since it uses less digits than its factorization.

82626307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 82626307 is about 9089.9013746025. The cubic root of 82626307 is about 435.5514334951.

The spelling of 82626307 in words is "eighty-two million, six hundred twenty-six thousand, three hundred seven".