1983366225 has 27 divisors (see below), whose sum is σ = 3553626193. Its totient is φ = 1057439040.

The previous prime is 1983366211. The next prime is 1983366247. The reversal of 1983366225 is 5226633891.

The square root of 1983366225 is 44535.

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

1983366225 is a `hidden beast` number, since 1 + 98 + 336 + 6 + 225 = 666.

1983366225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1118300481 + 865065744 = 33441^2 + 29412^2 .

It is not a de Polignac number, because 1983366225 - 2⁵ = 1983366193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 666541 + ... + 669509.

Almost surely, 2^1983366225 is an apocalyptic number.

1983366225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1983366225 is the 44535-th square number.

1983366225 is the 22268-th centered octagonal number.

It is an amenable number.

1983366225 is a deficient number, since it is larger than the sum of its proper divisors (1570259968).

1983366225 is an frugal number, since it uses more digits than its factorization.

1983366225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 2977 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The cubic root of 1983366225 is about 1256.4184477471.

The spelling of 1983366225 in words is "one billion, nine hundred eighty-three million, three hundred sixty-six thousand, two hundred twenty-five".