919 has 2 divisors, whose sum is σ = 920. Its totient is φ = 918.

The previous prime is 911. The next prime is 929.

Subtracting from 919 its sum of digits (19), we obtain a square (900 = 30^{2}).

Adding to 919 its product of digits (81), we get a cube (1000 = 10^{3}).

Subtracting from 919 its product of digits (81), we obtain a palindrome (838).

It can be divided in two parts, 91 and 9, that added together give a square (100 = 10^{2}).

919 is nontrivially palindromic in base 10 and base 15.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 919 - 2^{3} = 911 is a prime.

It is a super-2 number, since 2×919^{2} = 1689122, which contains 22 as substring.

It is a Chen prime.

919 is an undulating number in base 10 and base 15.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 896 and 905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 459 + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (460).

919 is the 18-th hex number.

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

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

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

The product of its digits is 81, while the sum is 19.

The square root of 919 is about 30.3150127824. The cubic root of 919 is about 9.7223631121.

The spelling of 919 in words is "nine hundred nineteen", and thus it is an aban number and an oban number.

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