1724823961 has 27 divisors (see below), whose sum is σ = 2137520349. Its totient is φ = 1387467648.

The previous prime is 1724823959. The next prime is 1724823979. The reversal of 1724823961 is 1693284271.

The square root of 1724823961 is 41531.

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

It can be written as a sum of positive squares in 4 ways, for example, as 454329225 + 1270494736 = 21315^2 + 35644^2 .

It is not a de Polignac number, because 1724823961 - 2¹ = 1724823959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1724823901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4942015 + ... + 4942363.

Almost surely, 2^1724823961 is an apocalyptic number.

1724823961 is the 41531-st square number.

1724823961 is the 20766-th centered octagonal number.

It is an amenable number.

1724823961 is a deficient number, since it is larger than the sum of its proper divisors (412696388).

1724823961 is an frugal number, since it uses more digits than its factorization.

1724823961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The cubic root of 1724823961 is about 1199.2643549011.

It can be divided in two parts, 17248 and 23961, that added together give a square (41209 = 203²).

The spelling of 1724823961 in words is "one billion, seven hundred twenty-four million, eight hundred twenty-three thousand, nine hundred sixty-one".