1933 has 2 divisors, whose sum is σ = 1934. Its totient is φ = 1932.

The previous prime is 1931. The next prime is 1949. The reversal of 1933 is 3391.

It is a happy number.

It is an a-pointer prime, because the next prime (1949) can be obtained adding 1933 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 169 = 42^2 + 13^2 .

It is an emirp because it is prime and its reverse (3391) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1933 - 2¹ = 1931 is a prime.

Together with 1931, it forms a pair of twin primes.

1933 is a modest number, since divided by 33 gives 19 as remainder.

1933 is a lucky number.

It is equal to p₂₉₅ and since 1933 and 295 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 9, base 15 and base 16.

It is a nialpdrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1931) 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, 966 + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (967).

2¹⁹³³ is an apocalyptic number.

1933 is the 24-th centered heptagonal number.

It is an amenable number.

1933 is a deficient number, since it is larger than the sum of its proper divisors (1).

1933 is an equidigital number, since it uses as much as digits as its factorization.

1933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81, while the sum is 16.

The square root of 1933 is about 43.9658958740. The cubic root of 1933 is about 12.4569183550.

It can be divided in two parts, 193 and 3, that added together give a square (196 = 14²).

The spelling of 1933 in words is "one thousand, nine hundred thirty-three".