33697665090961 has 9 divisors (see below), whose sum is σ = 33726069501393. Its totient is φ = 33669284597520.

The previous prime is 33697665090959. The next prime is 33697665090997. The reversal of 33697665090961 is 16909056679633.

The square root of 33697665090961 is 5804969.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15847716084561 + 17849949006400 = 3980919^2 + 4224920^2 .

It is not a de Polignac number, because 33697665090961 - 2¹ = 33697665090959 is a prime.

It is a super-2 number, since 2×33697665090961² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33697665090931) 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, 11778280671 + ... + 11778283531.

Almost surely, 2^{33697665090961} is an apocalyptic number.

33697665090961 is the 5804969-th square number.

33697665090961 is the 2902485-th centered octagonal number.

It is an amenable number.

33697665090961 is a deficient number, since it is larger than the sum of its proper divisors (28404410432).

33697665090961 is an frugal number, since it uses more digits than its factorization.

33697665090961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 70.

The spelling of 33697665090961 in words is "thirty-three trillion, six hundred ninety-seven billion, six hundred sixty-five million, ninety thousand, nine hundred sixty-one".