10730 has 16 divisors (see below), whose sum is σ = 20520. Its totient is φ = 4032.

The previous prime is 10729. The next prime is 10733. The reversal of 10730 is 3701.

10730 = T₆₃ + T₆₄ + ... + T₆₇.

It can be written as a sum of positive squares in 4 ways, for example, as 10201 + 529 = 101^2 + 23^2 .

10730 is an undulating number in base 12.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 272 + ... + 308.

2¹⁰⁷³⁰ is an apocalyptic number.

10730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10730 is a deficient number, since it is larger than the sum of its proper divisors (9790).

10730 is a wasteful number, since it uses less digits than its factorization.

10730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 10730 is about 103.5857133006. The cubic root of 10730 is about 22.0563294784.

The spelling of 10730 in words is "ten thousand, seven hundred thirty".