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10753 is a prime number
BaseRepresentation
bin10101000000001
3112202021
42220001
5321003
6121441
743231
oct25001
915667
1010753
118096
126281
134b82
143cc1
1532bd
hex2a01

10753 has 2 divisors, whose sum is σ = 10754. Its totient is φ = 10752.

The previous prime is 10739. The next prime is 10771. The reversal of 10753 is 35701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10609 + 144 = 103^2 + 12^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10753 is a prime.

It is a super-3 number, since 3×107533 = 3730011683331, which contains 333 as substring.

10753 is a lucky number.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (10723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5376 + 5377.

It is an arithmetic number, because the mean of its divisors is an integer number (5377).

It is a Proth number, since it is equal to 21 ⋅ 29 + 1 and 21 < 29.

210753 is an apocalyptic number.

It is an amenable number.

10753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10753 is an equidigital number, since it uses as much as digits as its factorization.

10753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10753 is about 103.6966730421. The cubic root of 10753 is about 22.0720776468.

Subtracting from 10753 its product of nonzero digits (105), we obtain a cube (10648 = 223).

It can be divided in two parts, 107 and 53, that multiplied together give a triangular number (5671 = T106).

The spelling of 10753 in words is "ten thousand, seven hundred fifty-three".