1727649225 has 81 divisors (see below), whose sum is σ = 3307433493. Its totient is φ = 861891840.

The previous prime is 1727649211. The next prime is 1727649239. The reversal of 1727649225 is 5229467271.

The square root of 1727649225 is 41565.

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

1727649225 is a `hidden beast` number, since 1 + 72 + 76 + 492 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1727649211) and next prime (1727649239).

It can be written as a sum of positive squares in 4 ways, for example, as 40411449 + 1687237776 = 6357^2 + 41076^2 .

It is not a de Polignac number, because 1727649225 - 2⁷ = 1727649097 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10598994 + ... + 10599156.

Almost surely, 2^1727649225 is an apocalyptic number.

1727649225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1727649225 is the 41565-th square number.

1727649225 is the 20783-rd centered octagonal number.

It is an amenable number.

1727649225 is a deficient number, since it is larger than the sum of its proper divisors (1579784268).

1727649225 is a wasteful number, since it uses less digits than its factorization.

1727649225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The cubic root of 1727649225 is about 1199.9187965885.

The spelling of 1727649225 in words is "one billion, seven hundred twenty-seven million, six hundred forty-nine thousand, two hundred twenty-five".