82582027 has 8 divisors (see below), whose sum is σ = 90262512. Its totient is φ = 74930400.

The previous prime is 82582021. The next prime is 82582033. The reversal of 82582027 is 72028528.

82582027 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (82582021) and next prime (82582033).

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 82582027 - 2⁷ = 82581899 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82581983 and 82582001.

It is not an unprimeable number, because it can be changed into a prime (82582021) 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, 988 + ... + 12889.

It is an arithmetic number, because the mean of its divisors is an integer number (11282814).

Almost surely, 2^82582027 is an apocalyptic number.

82582027 is a deficient number, since it is larger than the sum of its proper divisors (7680485).

82582027 is a wasteful number, since it uses less digits than its factorization.

82582027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429.

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 82582027 is about 9087.4653782009. The cubic root of 82582027 is about 435.4736146002.

The spelling of 82582027 in words is "eighty-two million, five hundred eighty-two thousand, twenty-seven".