1729312225 has 9 divisors (see below), whose sum is σ = 2144605017. Its totient is φ = 1383283440.

The previous prime is 1729312213. The next prime is 1729312261. The reversal of 1729312225 is 5222139271.

The square root of 1729312225 is 41585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 414814689 + 1314497536 = 20367^2 + 36256^2 .

It is not a de Polignac number, because 1729312225 - 2¹³ = 1729304033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 203767 + ... + 212083.

Almost surely, 2^1729312225 is an apocalyptic number.

1729312225 is the 41585-th square number.

1729312225 is the 20793-rd centered octagonal number.

It is an amenable number.

1729312225 is a deficient number, since it is larger than the sum of its proper divisors (415292792).

1729312225 is an frugal number, since it uses more digits than its factorization.

1729312225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16644 (or 8322 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The cubic root of 1729312225 is about 1200.3036789298.

The spelling of 1729312225 in words is "one billion, seven hundred twenty-nine million, three hundred twelve thousand, two hundred twenty-five".