1913 has 2 divisors, whose sum is σ = 1914. Its totient is φ = 1912.

The previous prime is 1907. The next prime is 1931. The reversal of 1913 is 3191.

1913 is nontrivially palindromic in base 3, base 14 and base 15.

1913 is an esthetic number in base 3, base 14 and base 15, because in such bases its adjacent digits differ by 1.

Together with next prime (1931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1849 + 64 = 43^2 + 8^2 .

It is an emirp because it is prime and its reverse (3191) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1913 - 2⁸ = 1657 is a prime.

It is a Chen prime.

1913 is an undulating number in base 3, base 14 and base 15.

It is equal to p₂₉₃ and since 1913 and 293 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 9, base 11, base 12 and base 16.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (1933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 956 + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (957).

It is an amenable number.

1913 is a deficient number, since it is larger than the sum of its proper divisors (1).

1913 is an equidigital number, since it uses as much as digits as its factorization.

1913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27, while the sum is 14.

The square root of 1913 is about 43.7378554573. The cubic root of 1913 is about 12.4138070278.

It can be divided in two parts, 19 and 13, that added together give a 5-th power (32 = 2⁵).

The spelling of 1913 in words is "one thousand, nine hundred thirteen".