Search a number
733 is a prime number

• 733 can be written using four 4's:

See also 113.

• The first 733 primes can be divided into two non-overlapping runs with the same sum, i.e.,

p1 + ... + p532 = p533 + ... + p733.
The previous such configuration is the trivial one 2 + 3 = 5, while the next one is obtained considering the first 25492021989 primes.
733 has 2 divisors, whose sum is σ = 734. Its totient is φ = 732.

The previous prime is 727. The next prime is 739. The reversal of 733 is 337.

It is a balanced prime because it is at equal distance from previous prime (727) and next prime (739).

It can be written as a sum of positive squares in only one way, i.e., 729 + 4 = 27^2 + 2^2 .

733 is a truncatable prime.

It is an emirp because it is prime and its reverse (337) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 733 - 25 = 701 is a prime.

733 is a modest number, since divided by 33 gives 7 as remainder.

It is a plaindrome in base 8, base 13, base 15 and base 16.

It is a nialpdrome in base 6, base 10 and base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (739) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 366 + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (367).

It is an amenable number.

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

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

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

The product of its digits is 63, while the sum is 13.

The square root of 733 is about 27.0739727414. The cubic root of 733 is about 9.0164308900.

It can be divided in two parts, 7 and 33, that multiplied together give a triangular number (231 = T21).

The spelling of 733 in words is "seven hundred thirty-three", and thus it is an aban number and an oban number.