18792225 has 45 divisors (see below), whose sum is σ = 35762623. Its totient is φ = 9432960.

The previous prime is 18792211. The next prime is 18792269. The reversal of 18792225 is 52229781.

The square root of 18792225 is 4335.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2047761 + 16744464 = 1431^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 18792225 - 2¹⁵ = 18759457 is a prime.

It is a Duffinian number.

Its product of digits (20160) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 18792225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1105417 + ... + 1105433.

Almost surely, 2^18792225 is an apocalyptic number.

18792225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18792225 is the 4335-th square number.

18792225 is the 2168-th centered octagonal number.

It is an amenable number.

18792225 is a deficient number, since it is larger than the sum of its proper divisors (16970398).

18792225 is an frugal number, since it uses more digits than its factorization.

18792225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 25 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The cubic root of 18792225 is about 265.8639183720.

Multiplying 18792225 by its sum of digits (36), we get a square (676520100 = 26010²).

The spelling of 18792225 in words is "eighteen million, seven hundred ninety-two thousand, two hundred twenty-five".