82582007 has 8 divisors (see below), whose sum is σ = 83521152. Its totient is φ = 81647800.

The previous prime is 82581991. The next prime is 82582009. The reversal of 82582007 is 70028528.

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 82582007 - 2⁴ = 82581991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82582009) 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, 39728 + ... + 41754.

It is an arithmetic number, because the mean of its divisors is an integer number (10440144).

Almost surely, 2^82582007 is an apocalyptic number.

82582007 is a deficient number, since it is larger than the sum of its proper divisors (939145).

82582007 is a wasteful number, since it uses less digits than its factorization.

82582007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 82582007 is about 9087.4642777840. The cubic root of 82582007 is about 435.4735794454.

The spelling of 82582007 in words is "eighty-two million, five hundred eighty-two thousand, seven".