972209 has 6 divisors (see below), whose sum is σ = 1130994. Its totient is φ = 833280.

The previous prime is 972199. The next prime is 972221. The reversal of 972209 is 902279.

972209 = 47² + 48² + ... + 144².

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 442225 = 728^2 + 665^2 .

It is not a de Polignac number, because 972209 - 2¹² = 968113 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972209.

It is not an unprimeable number, because it can be changed into a prime (972229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9872 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (188499).

2⁹⁷²²⁰⁹ is an apocalyptic number.

It is an amenable number.

972209 is a deficient number, since it is larger than the sum of its proper divisors (158785).

972209 is a wasteful number, since it uses less digits than its factorization.

972209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19855 (or 19848 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 972209 is about 986.0065922701. The cubic root of 972209 is about 99.0649167810.

The spelling of 972209 in words is "nine hundred seventy-two thousand, two hundred nine".