253768 has 8 divisors (see below), whose sum is σ = 475830. Its totient is φ = 126880.

The previous prime is 253763. The next prime is 253769. The reversal of 253768 is 867352.

253768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 252004 + 1764 = 502^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (253763) by changing a digit.

253768 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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15853 + ... + 15868.

2²⁵³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

253768 is a deficient number, since it is larger than the sum of its proper divisors (222062).

253768 is a wasteful number, since it uses less digits than its factorization.

253768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31727 (or 31723 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 253768 is about 503.7539081734. The cubic root of 253768 is about 63.3109677876.

The spelling of 253768 in words is "two hundred fifty-three thousand, seven hundred sixty-eight".