18931201 has 9 divisors (see below), whose sum is σ = 20067651. Its totient is φ = 17856504.

The previous prime is 18931181. The next prime is 18931207. The reversal of 18931201 is 10213981.

The square root of 18931201 is 4351.

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., 17631601 + 1299600 = 4199^2 + 1140^2 .

It is not a de Polignac number, because 18931201 - 2⁵ = 18931169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18931207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82555 + ... + 82783.

It is an arithmetic number, because the mean of its divisors is an integer number (2229739).

Almost surely, 2^18931201 is an apocalyptic number.

18931201 is the 4351-st square number.

18931201 is the 2176-th centered octagonal number.

It is an amenable number.

18931201 is a deficient number, since it is larger than the sum of its proper divisors (1136450).

18931201 is an frugal number, since it uses more digits than its factorization.

18931201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The cubic root of 18931201 is about 266.5176992634.

Multiplying 18931201 by its sum of digits (25), we get a square (473280025 = 21755²).

The spelling of 18931201 in words is "eighteen million, nine hundred thirty-one thousand, two hundred one".