1029062241 has 45 divisors (see below), whose sum is σ = 1623161631. Its totient is φ = 628235136.

The previous prime is 1029062231. The next prime is 1029062261. The reversal of 1029062241 is 1422609201.

The square root of 1029062241 is 32079.

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

1029062241 is a `hidden beast` number, since 10 + 29 + 0 + 622 + 4 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 68310225 + 960752016 = 8265^2 + 30996^2 .

It is not a de Polignac number, because 1029062241 - 2⁹ = 1029061729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1029062231) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 27812475 + ... + 27812511.

Almost surely, 2^1029062241 is an apocalyptic number.

1029062241 is the 32079-th square number.

1029062241 is the 16040-th centered octagonal number.

It is an amenable number.

1029062241 is a deficient number, since it is larger than the sum of its proper divisors (594099390).

1029062241 is an frugal number, since it uses more digits than its factorization.

1029062241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 1029062241 is about 1009.5950541462.

The spelling of 1029062241 in words is "one billion, twenty-nine million, sixty-two thousand, two hundred forty-one".