82972209 has 4 divisors (see below), whose sum is σ = 110629616. Its totient is φ = 55314804.

The previous prime is 82972181. The next prime is 82972229. The reversal of 82972209 is 90227928.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 82972209 - 2⁸ = 82971953 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82972229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13828699 + ... + 13828704.

It is an arithmetic number, because the mean of its divisors is an integer number (27657404).

Almost surely, 2^82972209 is an apocalyptic number.

It is an amenable number.

82972209 is a deficient number, since it is larger than the sum of its proper divisors (27657407).

82972209 is a wasteful number, since it uses less digits than its factorization.

82972209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27657406.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 82972209 is about 9108.9082221746. The cubic root of 82972209 is about 436.1583764472.

The spelling of 82972209 in words is "eighty-two million, nine hundred seventy-two thousand, two hundred nine".