165763 has 8 divisors (see below), whose sum is σ = 183456. Its totient is φ = 148800.

The previous prime is 165749. The next prime is 165779. The reversal of 165763 is 367561.

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 165763 - 2¹³ = 157571 is a prime.

165763 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (165703) 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, 378 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2¹⁶⁵⁷⁶³ is an apocalyptic number.

165763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

165763 is a deficient number, since it is larger than the sum of its proper divisors (17693).

165763 is a wasteful number, since it uses less digits than its factorization.

165763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its digits is 3780, while the sum is 28.

The square root of 165763 is about 407.1400250528. The cubic root of 165763 is about 54.9324791252.

The spelling of 165763 in words is "one hundred sixty-five thousand, seven hundred sixty-three".