253773 has 20 divisors (see below), whose sum is σ = 409948. Its totient is φ = 155520.

The previous prime is 253769. The next prime is 253777. The reversal of 253773 is 377352.

It is an interprime number because it is at equal distance from previous prime (253769) and next prime (253777).

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 142884 = 333^2 + 378^2 .

It is not a de Polignac number, because 253773 - 2² = 253769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 933 + ... + 1173.

2²⁵³⁷⁷³ is an apocalyptic number.

It is an amenable number.

253773 is a deficient number, since it is larger than the sum of its proper divisors (156175).

253773 is a wasteful number, since it uses less digits than its factorization.

253773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 253773 is about 503.7588708896. The cubic root of 253773 is about 63.3113835909.

The spelling of 253773 in words is "two hundred fifty-three thousand, seven hundred seventy-three".