35732718961 has 9 divisors (see below), whose sum is σ = 37716161931. Its totient is φ = 33848646984.

The previous prime is 35732718941. The next prime is 35732718977. The reversal of 35732718961 is 16981723753.

The square root of 35732718961 is 189031.

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., 14106075361 + 21626643600 = 118769^2 + 147060^2 .

It is not a de Polignac number, because 35732718961 - 2²³ = 35724330353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35732718899 and 35732718908.

It is not an unprimeable number, because it can be changed into a prime (35732718941) 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, 3586615 + ... + 3596563.

It is an arithmetic number, because the mean of its divisors is an integer number (4190684659).

Almost surely, 2^35732718961 is an apocalyptic number.

35732718961 is the 189031-st square number.

35732718961 is the 94516-th centered octagonal number.

It is an amenable number.

35732718961 is a deficient number, since it is larger than the sum of its proper divisors (1983442970).

35732718961 is an frugal number, since it uses more digits than its factorization.

35732718961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19936 (or 9968 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The spelling of 35732718961 in words is "thirty-five billion, seven hundred thirty-two million, seven hundred eighteen thousand, nine hundred sixty-one".