225810729 has 9 divisors (see below), whose sum is σ = 326236183. Its totient is φ = 150510432.

The previous prime is 225810709. The next prime is 225810773. The reversal of 225810729 is 927018522.

The square root of 225810729 is 15027.

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

225810729 is a `hidden beast` number, since 2 + 2 + 581 + 0 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106564329 + 119246400 = 10323^2 + 10920^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 225810729 - 2¹⁵ = 225777961 is a prime.

It is a super-2 number, since 2×225810729² = 101980970663022882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225810693 and 225810702.

It is not an unprimeable number, because it can be changed into a prime (225810709) 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, 42577 + ... + 47585.

Almost surely, 2^225810729 is an apocalyptic number.

225810729 is the 15027-th square number.

225810729 is the 7514-th centered octagonal number.

It is an amenable number.

225810729 is a deficient number, since it is larger than the sum of its proper divisors (100425454).

225810729 is an frugal number, since it uses more digits than its factorization.

225810729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 5012 counting only the distinct ones).

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

The cubic root of 225810729 is about 608.9498450125.

Multiplying 225810729 by its sum of digits (36), we get a square (8129186244 = 90162²).

The spelling of 225810729 in words is "two hundred twenty-five million, eight hundred ten thousand, seven hundred twenty-nine".