10745 has 8 divisors (see below), whose sum is σ = 14784. Its totient is φ = 7344.

The previous prime is 10739. The next prime is 10753. The reversal of 10745 is 54701.

10745 = 17³ + 18³.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10745 - 2⁴ = 10729 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

2¹⁰⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

10745 is a deficient number, since it is larger than the sum of its proper divisors (4039).

10745 is an equidigital number, since it uses as much as digits as its factorization.

10745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10745 is about 103.6580918211. The cubic root of 10745 is about 22.0666025723.

Subtracting 10745 from its reverse (54701), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 10745 in words is "ten thousand, seven hundred forty-five".