1749163329 has 21 divisors (see below), whose sum is σ = 2624239443. Its totient is φ = 1165356072.

The previous prime is 1749163319. The next prime is 1749163357. The reversal of 1749163329 is 9233619471.

The square root of 1749163329 is 41823.

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

1749163329 is a `hidden beast` number, since 1 + 7 + 4 + 9 + 1 + 633 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 591802929 + 1157360400 = 24327^2 + 34020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1749163329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1749163309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1128447 + ... + 1129995.

It is an arithmetic number, because the mean of its divisors is an integer number (124963783).

Almost surely, 2^1749163329 is an apocalyptic number.

1749163329 is the 41823-rd square number.

1749163329 is the 20912-nd centered octagonal number.

It is an amenable number.

1749163329 is a deficient number, since it is larger than the sum of its proper divisors (875076114).

1749163329 is an frugal number, since it uses more digits than its factorization.

1749163329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 1552 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The cubic root of 1749163329 is about 1204.8790542224.

The spelling of 1749163329 in words is "one billion, seven hundred forty-nine million, one hundred sixty-three thousand, three hundred twenty-nine".