329683820761 has 3 divisors (see below), whose sum is σ = 329684394943. Its totient is φ = 329683246580.

The previous prime is 329683820731. The next prime is 329683820773. The reversal of 329683820761 is 167028386923.

The square root of 329683820761 is 574181.

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, and also an emirpimes, since its reverse is a distinct semiprime: 167028386923 = 127 ⋅1315184149.

It can be written as a sum of positive squares in only one way, i.e., 52776332361 + 276907488400 = 229731^2 + 526220^2 .

It is not a de Polignac number, because 329683820761 - 2¹³ = 329683812569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329683820731) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 287091 + ... + 861271.

Almost surely, 2^329683820761 is an apocalyptic number.

329683820761 is the 574181-st square number.

329683820761 is the 287091-st centered octagonal number.

It is an amenable number.

329683820761 is a deficient number, since it is larger than the sum of its proper divisors (574182).

329683820761 is an frugal number, since it uses more digits than its factorization.

329683820761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148362 (or 574181 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 329683820761 in words is "three hundred twenty-nine billion, six hundred eighty-three million, eight hundred twenty thousand, seven hundred sixty-one".