744252961 has 3 divisors (see below), whose sum is σ = 744280243. Its totient is φ = 744225680.

The previous prime is 744252953. The next prime is 744252973. The reversal of 744252961 is 169252447.

The square root of 744252961 is 27281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 572118561 + 172134400 = 23919^2 + 13120^2 .

It is not a de Polignac number, because 744252961 - 2³ = 744252953 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (744252461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13641 + ... + 40921.

Almost surely, 2^744252961 is an apocalyptic number.

744252961 is the 27281-st square number.

744252961 is the 13641-st centered octagonal number.

It is an amenable number.

744252961 is a deficient number, since it is larger than the sum of its proper divisors (27282).

744252961 is an frugal number, since it uses more digits than its factorization.

744252961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54562 (or 27281 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The cubic root of 744252961 is about 906.2336628303.

The spelling of 744252961 in words is "seven hundred forty-four million, two hundred fifty-two thousand, nine hundred sixty-one".