93800700361 has 27 divisors (see below), whose sum is σ = 99376362631. Its totient is φ = 88533792368.

The previous prime is 93800700353. The next prime is 93800700397. The reversal of 93800700361 is 16300700839.

The square root of 93800700361 is 306269.

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., 49186811961 + 44613888400 = 221781^2 + 211220^2 .

It is not a de Polignac number, because 93800700361 - 2³ = 93800700353 is a prime.

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 93800700361.

It is not an unprimeable number, because it can be changed into a prime (93800700311) 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, 524026170 + ... + 524026348.

Almost surely, 2^93800700361 is an apocalyptic number.

93800700361 is the 306269-th square number.

93800700361 is the 153135-th centered octagonal number.

It is an amenable number.

93800700361 is a deficient number, since it is larger than the sum of its proper divisors (5575662270).

93800700361 is an frugal number, since it uses more digits than its factorization.

93800700361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 93800700361 in words is "ninety-three billion, eight hundred million, seven hundred thousand, three hundred sixty-one".