33830612761 has 27 divisors (see below), whose sum is σ = 38926323093. Its totient is φ = 29377459320.

The previous prime is 33830612587. The next prime is 33830612789. The reversal of 33830612761 is 16721603833.

The square root of 33830612761 is 183931.

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

It is not a de Polignac number, because 33830612761 - 2¹⁷ = 33830481689 is a prime.

It is a super-2 number, since 2×33830612761² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33830610761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46534180 + ... + 46534906.

Almost surely, 2^33830612761 is an apocalyptic number.

33830612761 is the 183931-st square number.

33830612761 is the 91966-th centered octagonal number.

It is an amenable number.

33830612761 is a deficient number, since it is larger than the sum of its proper divisors (5095710332).

33830612761 is an frugal number, since it uses more digits than its factorization.

33830612761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 33830612761 in words is "thirty-three billion, eight hundred thirty million, six hundred twelve thousand, seven hundred sixty-one".