10731 has 12 divisors (see below), whose sum is σ = 16872. Its totient is φ = 6048.

The previous prime is 10729. The next prime is 10733. The reversal of 10731 is 13701.

It can be divided in two parts, 10 and 731, that added together give a triangular number (741 = T_{38}).

10731 is a nontrivial binomial coefficient, being equal to C(147, 2).

It is an interprime number because it is at equal distance from previous prime (10729) and next prime (10733).

It is not a de Polignac number, because 10731 - 2^{1} = 10729 is a prime.

It is a super-2 number, since 2×10731^{2} = 230308722, which contains 22 as substring.

10731 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 10731.

It is not an unprimeable number, because it can be changed into a prime (10733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1406).

2^{10731} is an apocalyptic number.

10731 is the 146-th triangular number.

10731 is a deficient number, since it is larger than the sum of its proper divisors (6141).

10731 is an equidigital number, since it uses as much as digits as its factorization.

10731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 10731 is about 103.5905401086. The cubic root of 10731 is about 22.0570146491.

The spelling of 10731 in words is "ten thousand, seven hundred thirty-one".

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