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114401 = 759277

114401 has 8 divisors (see below), whose sum is σ = 133440. Its totient is φ = 96048.

The previous prime is 114377. The next prime is 114407. The reversal of 114401 is 104411.

Adding to 114401 its reverse (104411), we get a palindrome (218812).

It can be divided in two parts, 114 and 401, that added together give a palindrome (515).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114401 - 214 = 98017 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114401.

It is not an unprimeable number, because it can be changed into a prime (114407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (16680).

2114401 is an apocalyptic number.

It is an amenable number.

114401 is a deficient number, since it is larger than the sum of its proper divisors (19039).

114401 is an equidigital number, since it uses as much as digits as its factorization.

114401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 114401 is about 338.2321687835. The cubic root of 114401 is about 48.5448623052.

The spelling of 114401 in words is "one hundred fourteen thousand, four hundred one", and thus it is an iban number.

Divisors: 1 7 59 277 413 1939 16343 114401