10762 has 4 divisors (see below), whose sum is σ = 16146. Its totient is φ = 5380.

The previous prime is 10753. The next prime is 10771. The reversal of 10762 is 26701.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (10753) and next prime (10771).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 961 = 99^2 + 31^2 .

It is a plaindrome in base 9.

It is a zygodrome in base 4.

It is an unprimeable number.

10762 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2689 + ... + 2692.

2¹⁰⁷⁶² is an apocalyptic number.

10762 is a deficient number, since it is larger than the sum of its proper divisors (5384).

10762 is an equidigital number, since it uses as much as digits as its factorization.

10762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10762 is about 103.7400597648. The cubic root of 10762 is about 22.0782338607.

It can be divided in two parts, 107 and 62, that added together give a square (169 = 13²).

The spelling of 10762 in words is "ten thousand, seven hundred sixty-two".