906672321 has 9 divisors (see below), whose sum is σ = 1309768291. Its totient is φ = 604387992.

The previous prime is 906672241. The next prime is 906672323. The reversal of 906672321 is 123276609.

The square root of 906672321 is 30111.

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

It can be written as a sum of positive squares in only one way, i.e., 303282225 + 603390096 = 17415^2 + 24564^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 906672321 - 2⁹ = 906671809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906672323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85315 + ... + 95351.

Almost surely, 2^906672321 is an apocalyptic number.

906672321 is the 30111-st square number.

906672321 is the 15056-th centered octagonal number.

It is an amenable number.

906672321 is a deficient number, since it is larger than the sum of its proper divisors (403095970).

906672321 is an frugal number, since it uses more digits than its factorization.

906672321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20080 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 906672321 is about 967.8694588809.

Multiplying 906672321 by its sum of digits (36), we get a square (32640203556 = 180666²).

The spelling of 906672321 in words is "nine hundred six million, six hundred seventy-two thousand, three hundred twenty-one".