93735101892721 has 27 divisors (see below), whose sum is σ = 98299485176011. Its totient is φ = 89375311474064.

The previous prime is 93735101892709. The next prime is 93735101892727. The reversal of 93735101892721 is 12729810153739.

The square root of 93735101892721 is 9681689.

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., 76224057348321 + 17511044544400 = 8730639^2 + 4184620^2 .

It is not a de Polignac number, because 93735101892721 - 2¹⁵ = 93735101859953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93735101892727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113343532710 + ... + 113343533536.

Almost surely, 2^{93735101892721} is an apocalyptic number.

93735101892721 is the 9681689-th square number.

93735101892721 is the 4840845-th centered octagonal number.

It is an amenable number.

93735101892721 is a deficient number, since it is larger than the sum of its proper divisors (4564383283290).

93735101892721 is an frugal number, since it uses more digits than its factorization.

93735101892721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The spelling of 93735101892721 in words is "ninety-three trillion, seven hundred thirty-five billion, one hundred one million, eight hundred ninety-two thousand, seven hundred twenty-one".