2172585321 has 15 divisors (see below), whose sum is σ = 3246093741. Its totient is φ = 1448110548.

The previous prime is 2172585281. The next prime is 2172585353. The reversal of 2172585321 is 1235852712.

The square root of 2172585321 is 46611.

It is a perfect power (a square), and thus also a powerful number.

2172585321 is a `hidden beast` number, since 2 + 1 + 72 + 58 + 532 + 1 = 666.

It is not a de Polignac number, because 2172585321 - 2¹³ = 2172577129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2172585421) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 416910 + ... + 422088.

Almost surely, 2^2172585321 is an apocalyptic number.

2172585321 is the 46611-st square number.

2172585321 is the 23306-th centered octagonal number.

It is an amenable number.

2172585321 is a deficient number, since it is larger than the sum of its proper divisors (1073508420).

2172585321 is an frugal number, since it uses more digits than its factorization.

2172585321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 5182 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The cubic root of 2172585321 is about 1295.1665326500.

Multiplying 2172585321 by its sum of digits (36), we get a square (78213071556 = 279666²).

The spelling of 2172585321 in words is "two billion, one hundred seventy-two million, five hundred eighty-five thousand, three hundred twenty-one".