1029447225 has 135 divisors (see below), whose sum is σ = 2059782879. Its totient is φ = 508226400.

The previous prime is 1029447217. The next prime is 1029447233. The reversal of 1029447225 is 5227449201.

The square root of 1029447225 is 32085.

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

It is an interprime number because it is at equal distance from previous prime (1029447217) and next prime (1029447233).

It can be written as a sum of positive squares in only one way, i.e., 370601001 + 658846224 = 19251^2 + 25668^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1029447225 - 2³ = 1029447217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1029447225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 33207960 + ... + 33207990.

Almost surely, 2^1029447225 is an apocalyptic number.

1029447225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1029447225 is the 32085-th square number.

1029447225 is the 16043-rd centered octagonal number.

It is an amenable number.

1029447225 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1029447225 is an equidigital number, since it uses as much as digits as its factorization.

1029447225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 1029447225 is about 1009.7209388165.

Multiplying 1029447225 by its sum of digits (36), we get a square (37060100100 = 192510²).

The spelling of 1029447225 in words is "one billion, twenty-nine million, four hundred forty-seven thousand, two hundred twenty-five".