82671567 has 16 divisors (see below), whose sum is σ = 122290560. Its totient is φ = 49253600.

The previous prime is 82671559. The next prime is 82671581. The reversal of 82671567 is 76517628.

It is not a de Polignac number, because 82671567 - 2³ = 82671559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82671557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19284 + ... + 23177.

It is an arithmetic number, because the mean of its divisors is an integer number (7643160).

Almost surely, 2^82671567 is an apocalyptic number.

82671567 is a deficient number, since it is larger than the sum of its proper divisors (39618993).

82671567 is a wasteful number, since it uses less digits than its factorization.

82671567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42534.

The product of its digits is 141120, while the sum is 42.

The square root of 82671567 is about 9092.3906097352. The cubic root of 82671567 is about 435.6309459422.

It can be divided in two parts, 82671 and 567, that added together give a palindrome (83238).

The spelling of 82671567 in words is "eighty-two million, six hundred seventy-one thousand, five hundred sixty-seven".