1683542961 has 45 divisors (see below), whose sum is σ = 2596333179. Its totient is φ = 1087157376.

The previous prime is 1683542911. The next prime is 1683542977. The reversal of 1683542961 is 1692453861.

The square root of 1683542961 is 41031.

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

1683542961 is a `hidden beast` number, since 1 + 6 + 8 + 354 + 296 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 755975025 + 927567936 = 27495^2 + 30456^2 .

It is not a de Polignac number, because 1683542961 - 2⁹ = 1683542449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1683542911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17356065 + ... + 17356161.

Almost surely, 2^1683542961 is an apocalyptic number.

1683542961 is the 41031-st square number.

1683542961 is the 20516-th centered octagonal number.

It is an amenable number.

1683542961 is a deficient number, since it is larger than the sum of its proper divisors (912790218).

1683542961 is an frugal number, since it uses more digits than its factorization.

1683542961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 147 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 1683542961 is about 1189.6194817080.

It can be divided in two parts, 1683 and 542961, that added together give a square (544644 = 738²).

The spelling of 1683542961 in words is "one billion, six hundred eighty-three million, five hundred forty-two thousand, nine hundred sixty-one".