82415307 has 16 divisors (see below), whose sum is σ = 119393568. Its totient is φ = 50265600.

The previous prime is 82415237. The next prime is 82415323. The reversal of 82415307 is 70351428.

It is not a de Polignac number, because 82415307 - 2⁸ = 82415051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82415357) 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, 4944 + ... + 13757.

It is an arithmetic number, because the mean of its divisors is an integer number (7462098).

Almost surely, 2^82415307 is an apocalyptic number.

82415307 is a deficient number, since it is larger than the sum of its proper divisors (36978261).

82415307 is a wasteful number, since it uses less digits than its factorization.

82415307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18830.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 82415307 is about 9078.2876689385. The cubic root of 82415307 is about 435.1803664769.

The spelling of 82415307 in words is "eighty-two million, four hundred fifteen thousand, three hundred seven".