6734 has 16 divisors (see below), whose sum is σ = 12768. Its totient is φ = 2592.

The previous prime is 6733. The next prime is 6737. The reversal of 6734 is 4376.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6733) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2^{6734} is an apocalyptic number.

6734 is a deficient number, since it is larger than the sum of its proper divisors (6034).

6734 is a wasteful number, since it uses less digits than its factorization.

6734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59.

The product of its digits is 504, while the sum is 20.

The square root of 6734 is about 82.0609529557. The cubic root of 6734 is about 18.8838715368.

It can be divided in two parts, 67 and 34, that multiplied together give a triangular number (2278 = T_{67}).

The spelling of 6734 in words is "six thousand, seven hundred thirty-four".

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