• 1414^{2} = 1999396 is the smallest square that contains exactly four digits '9'.

1414 has 8 divisors (see below), whose sum is σ = 2448. Its totient is φ = 600.

The previous prime is 1409. The next prime is 1423. The reversal of 1414 is 4141.

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

It is an alternating number because its digits alternate between odd and even.

1414 is an undulating number in base 10.

It is a plaindrome in base 12.

It is a nialpdrome in base 14 and base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37 + ... + 64.

It is an arithmetic number, because the mean of its divisors is an integer number (306).

1414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1414 is a deficient number, since it is larger than the sum of its proper divisors (1034).

1414 is a wasteful number, since it uses less digits than its factorization.

1414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its digits is 16, while the sum is 10.

The square root of 1414 is about 37.6031913539. The cubic root of 1414 is about 11.2240554394.

Adding to 1414 its reverse (4141), we get a palindrome (5555).

It can be divided in two parts, 14 and 14, that added together give a triangular number (28 = T_{7}).

The spelling of 1414 in words is "one thousand, four hundred fourteen", and thus it is an iban number.

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