115632405 has 54 divisors (see below), whose sum is σ = 234175266. Its totient is φ = 52629696.

The previous prime is 115632401. The next prime is 115632427. The reversal of 115632405 is 504236511.

It can be written as a sum of positive squares in 3 ways, for example, as 64352484 + 51279921 = 8022^2 + 7161^2 .

It is not a de Polignac number, because 115632405 - 2² = 115632401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115632401) 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 53 ways as a sum of consecutive naturals, for example, 504831 + ... + 505059.

It is an arithmetic number, because the mean of its divisors is an integer number (4336579).

Almost surely, 2^115632405 is an apocalyptic number.

115632405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115632405 is an abundant number, since it is smaller than the sum of its proper divisors (118542861).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115632405 is an equidigital number, since it uses as much as digits as its factorization.

115632405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 115632405 is about 10753.2509037965. The cubic root of 115632405 is about 487.1841899348.

Adding to 115632405 its reverse (504236511), we get a palindrome (619868916).

The spelling of 115632405 in words is "one hundred fifteen million, six hundred thirty-two thousand, four hundred five".