112769541 has 36 divisors (see below), whose sum is σ = 175039020. Its totient is φ = 69932160.

The previous prime is 112769507. The next prime is 112769549. The reversal of 112769541 is 145967211.

It can be written as a sum of positive squares in 2 ways, for example, as 9828225 + 102941316 = 3135^2 + 10146^2 .

It is not a de Polignac number, because 112769541 - 2⁶ = 112769477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112769496 and 112769505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112769549) 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 35 ways as a sum of consecutive naturals, for example, 197905 + ... + 198473.

It is an arithmetic number, because the mean of its divisors is an integer number (4862195).

Almost surely, 2^112769541 is an apocalyptic number.

It is an amenable number.

112769541 is a deficient number, since it is larger than the sum of its proper divisors (62269479).

112769541 is a wasteful number, since it uses less digits than its factorization.

112769541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 112769541 is about 10619.3004006855. The cubic root of 112769541 is about 483.1299240260.

The spelling of 112769541 in words is "one hundred twelve million, seven hundred sixty-nine thousand, five hundred forty-one".