82209967 has 16 divisors (see below), whose sum is σ = 97270272. Its totient is φ = 68009760.

The previous prime is 82209947. The next prime is 82209971. The reversal of 82209967 is 76990228.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-82209967 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 (82209947) 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, 32718 + ... + 35140.

It is an arithmetic number, because the mean of its divisors is an integer number (6079392).

Almost surely, 2^82209967 is an apocalyptic number.

82209967 is a deficient number, since it is larger than the sum of its proper divisors (15060305).

82209967 is a wasteful number, since it uses less digits than its factorization.

82209967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598.

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 82209967 is about 9066.9712142479. The cubic root of 82209967 is about 434.8186446203.

The spelling of 82209967 in words is "eighty-two million, two hundred nine thousand, nine hundred sixty-seven".