82370667 has 16 divisors (see below), whose sum is σ = 112210560. Its totient is φ = 53731200.

The previous prime is 82370653. The next prime is 82370699. The reversal of 82370667 is 76607328.

It is not a de Polignac number, because 82370667 - 2⁷ = 82370539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82370647) 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, 41692 + ... + 43622.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2^82370667 is an apocalyptic number.

82370667 is a deficient number, since it is larger than the sum of its proper divisors (29839893).

82370667 is a wasteful number, since it uses less digits than its factorization.

82370667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 82370667 is about 9075.8287224914. The cubic root of 82370667 is about 435.1017809134.

The spelling of 82370667 in words is "eighty-two million, three hundred seventy thousand, six hundred sixty-seven".