112338801 has 9 divisors (see below), whose sum is σ = 162313099. Its totient is φ = 74871336.

The previous prime is 112338781. The next prime is 112338829. The reversal of 112338801 is 108833211.

The square root of 112338801 is 10599.

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., 91872225 + 20466576 = 9585^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 112338801 - 2⁷ = 112338673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112338851) 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, 30031 + ... + 33563.

Almost surely, 2^112338801 is an apocalyptic number.

112338801 is the 10599-th square number.

112338801 is the 5300-th centered octagonal number.

It is an amenable number.

112338801 is a deficient number, since it is larger than the sum of its proper divisors (49974298).

112338801 is an frugal number, since it uses more digits than its factorization.

112338801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 112338801 is about 482.5140103496.

The spelling of 112338801 in words is "one hundred twelve million, three hundred thirty-eight thousand, eight hundred one".