33735036241 has 9 divisors (see below), whose sum is σ = 34308530139. Its totient is φ = 33170982600.

The previous prime is 33735036229. The next prime is 33735036259. The reversal of 33735036241 is 14263053733.

It is a happy number.

The square root of 33735036241 is 183671.

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., 1097000641 + 32638035600 = 33121^2 + 180660^2 .

It is not a de Polignac number, because 33735036241 - 2²⁵ = 33701481809 is a prime.

It is a super-2 number, since 2×33735036241² (a number of 22 digits) 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 33735036241.

It is not an unprimeable number, because it can be changed into a prime (33735066241) 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, 11202426 + ... + 11205436.

Almost surely, 2^33735036241 is an apocalyptic number.

33735036241 is the 183671-st square number.

33735036241 is the 91836-th centered octagonal number.

It is an amenable number.

33735036241 is a deficient number, since it is larger than the sum of its proper divisors (573493898).

33735036241 is an frugal number, since it uses more digits than its factorization.

33735036241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

Adding to 33735036241 its reverse (14263053733), we get a palindrome (47998089974).

The spelling of 33735036241 in words is "thirty-three billion, seven hundred thirty-five million, thirty-six thousand, two hundred forty-one".