35509681 has 9 divisors (see below), whose sum is σ = 36482923. Its totient is φ = 34562200.

The previous prime is 35509679. The next prime is 35509687. The reversal of 35509681 is 18690553.

The square root of 35509681 is 5959.

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., 34117281 + 1392400 = 5841^2 + 1180^2 .

It is not a de Polignac number, because 35509681 - 2¹ = 35509679 is a prime.

It is a super-2 number, since 2×35509681² = 2521874889443522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35509681.

It is not an unprimeable number, because it can be changed into a prime (35509687) 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, 351531 + ... + 351631.

Almost surely, 2^35509681 is an apocalyptic number.

35509681 is the 5959-th square number.

35509681 is the 2980-th centered octagonal number.

It is an amenable number.

35509681 is a deficient number, since it is larger than the sum of its proper divisors (973242).

35509681 is an frugal number, since it uses more digits than its factorization.

35509681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The cubic root of 35509681 is about 328.6867952340.

Multiplying 35509681 by its product of nonzero digits (32400), we get a square (1150513664400 = 1072620²).

It can be divided in two parts, 3550 and 9681, that added together give a palindrome (13231).

The spelling of 35509681 in words is "thirty-five million, five hundred nine thousand, six hundred eighty-one".