112753641 has 32 divisors (see below), whose sum is σ = 201858048. Its totient is φ = 54066240.

The previous prime is 112753607. The next prime is 112753651. The reversal of 112753641 is 146357211.

It is not a de Polignac number, because 112753641 - 2⁶ = 112753577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112753599 and 112753608.

It is not an unprimeable number, because it can be changed into a prime (112753601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15771 + ... + 21776.

It is an arithmetic number, because the mean of its divisors is an integer number (6308064).

Almost surely, 2^112753641 is an apocalyptic number.

112753641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112753641 is a deficient number, since it is larger than the sum of its proper divisors (89104407).

112753641 is a wasteful number, since it uses less digits than its factorization.

112753641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37581.

The product of its digits is 5040, while the sum is 30.

The square root of 112753641 is about 10618.5517374075. The cubic root of 112753641 is about 483.1072165739.

The spelling of 112753641 in words is "one hundred twelve million, seven hundred fifty-three thousand, six hundred forty-one".