113848561 has 2 divisors, whose sum is σ = 113848562. Its totient is φ = 113848560.

The previous prime is 113848549. The next prime is 113848573. The reversal of 113848561 is 165848311.

It is a balanced prime because it is at equal distance from previous prime (113848549) and next prime (113848573).

It can be written as a sum of positive squares in only one way, i.e., 112042225 + 1806336 = 10585^2 + 1344^2 .

It is a cyclic number.

It is not a de Polignac number, because 113848561 - 2²⁵ = 80294129 is a prime.

It is a super-3 number, since 3×113848561³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 113848561.

It is not a weakly prime, because it can be changed into another prime (113848531) 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 as a sum of consecutive naturals, namely, 56924280 + 56924281.

It is an arithmetic number, because the mean of its divisors is an integer number (56924281).

Almost surely, 2^113848561 is an apocalyptic number.

It is an amenable number.

113848561 is a deficient number, since it is larger than the sum of its proper divisors (1).

113848561 is an equidigital number, since it uses as much as digits as its factorization.

113848561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 37.

The square root of 113848561 is about 10669.9841143274. The cubic root of 113848561 is about 484.6659562557.

The spelling of 113848561 in words is "one hundred thirteen million, eight hundred forty-eight thousand, five hundred sixty-one".