82952209 has 16 divisors (see below), whose sum is σ = 87736320. Its totient is φ = 78321600.

The previous prime is 82952201. The next prime is 82952251. The reversal of 82952209 is 90225928.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82952209 - 2³ = 82952201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82952201) 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, 371872 + ... + 372094.

It is an arithmetic number, because the mean of its divisors is an integer number (5483520).

Almost surely, 2^82952209 is an apocalyptic number.

It is an amenable number.

82952209 is a deficient number, since it is larger than the sum of its proper divisors (4784111).

82952209 is a wasteful number, since it uses less digits than its factorization.

82952209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 82952209 is about 9107.8103296017. The cubic root of 82952209 is about 436.1233290958.

The spelling of 82952209 in words is "eighty-two million, nine hundred fifty-two thousand, two hundred nine".