114211305 has 48 divisors (see below), whose sum is σ = 215416656. Its totient is φ = 55641600.

The previous prime is 114211303. The next prime is 114211319. The reversal of 114211305 is 503112411.

Added to its reverse (503112411) it gives a square (617323716 = 24846²).

It can be written as a sum of positive squares in 8 ways, for example, as 1617984 + 112593321 = 1272^2 + 10611^2 .

It is not a de Polignac number, because 114211305 - 2¹ = 114211303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114211301) 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 47 ways as a sum of consecutive naturals, for example, 58119 + ... + 60051.

It is an arithmetic number, because the mean of its divisors is an integer number (4487847).

Almost surely, 2^114211305 is an apocalyptic number.

114211305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114211305 is a deficient number, since it is larger than the sum of its proper divisors (101205351).

114211305 is a wasteful number, since it uses less digits than its factorization.

114211305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114211305 is about 10686.9689341740. The cubic root of 114211305 is about 485.1801576781.

Adding to 114211305 its reverse (503112411), we get a palindrome (617323716).

The spelling of 114211305 in words is "one hundred fourteen million, two hundred eleven thousand, three hundred five".