1974824721 has 9 divisors (see below), whose sum is σ = 2852717179. Its totient is φ = 1316460936.

The previous prime is 1974824711. The next prime is 1974824759. The reversal of 1974824721 is 1274284791.

The square root of 1974824721 is 44439.

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

It can be written as a sum of positive squares in only one way, i.e., 588305025 + 1386519696 = 24255^2 + 37236^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1974824721 - 2²⁹ = 1437953809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1974824711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125911 + ... + 140723.

Almost surely, 2^1974824721 is an apocalyptic number.

1974824721 is the 44439-th square number.

1974824721 is the 22220-th centered octagonal number.

It is an amenable number.

1974824721 is a deficient number, since it is larger than the sum of its proper divisors (877892458).

1974824721 is an frugal number, since it uses more digits than its factorization.

1974824721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29632 (or 14816 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The cubic root of 1974824721 is about 1254.6122347149.

The spelling of 1974824721 in words is "one billion, nine hundred seventy-four million, eight hundred twenty-four thousand, seven hundred twenty-one".