32785982761 has 9 divisors (see below), whose sum is σ = 38140270749. Its totient is φ = 28101184524.

The previous prime is 32785982759. The next prime is 32785982773. The reversal of 32785982761 is 16728958723.

It is a happy number.

The square root of 32785982761 is 181069.

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

It is not a de Polignac number, because 32785982761 - 2¹ = 32785982759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32785982696 and 32785982705.

It is not an unprimeable number, because it can be changed into a prime (32785982701) 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, 1254550 + ... + 1280416.

It is an arithmetic number, because the mean of its divisors is an integer number (4237807861).

Almost surely, 2^32785982761 is an apocalyptic number.

32785982761 is the 181069-th square number.

32785982761 is the 90535-th centered octagonal number.

It is an amenable number.

32785982761 is a deficient number, since it is larger than the sum of its proper divisors (5354287988).

32785982761 is an frugal number, since it uses more digits than its factorization.

32785982761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51748 (or 25874 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 58.

The spelling of 32785982761 in words is "thirty-two billion, seven hundred eighty-five million, nine hundred eighty-two thousand, seven hundred sixty-one".