113742225 has 63 divisors (see below), whose sum is σ = 214174443. Its totient is φ = 59894640.

The previous prime is 113742203. The next prime is 113742229. The reversal of 113742225 is 522247311.

The square root of 113742225 is 10665.

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., 40947201 + 72795024 = 6399^2 + 8532^2 .

It is not a de Polignac number, because 113742225 - 2²¹ = 111645073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113742229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1439736 + ... + 1439814.

Almost surely, 2^113742225 is an apocalyptic number.

113742225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113742225 is the 10665-th square number.

113742225 is the 5333-rd centered octagonal number.

It is an amenable number.

113742225 is a deficient number, since it is larger than the sum of its proper divisors (100432218).

113742225 is an frugal number, since it uses more digits than its factorization.

113742225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The cubic root of 113742225 is about 484.5150145353.

Adding to 113742225 its reverse (522247311), we get a palindrome (635989536).

The spelling of 113742225 in words is "one hundred thirteen million, seven hundred forty-two thousand, two hundred twenty-five".