253782 has 24 divisors (see below), whose sum is σ = 574704. Its totient is φ = 80784.

The previous prime is 253777. The next prime is 253787. The reversal of 253782 is 287352.

It is an interprime number because it is at equal distance from previous prime (253777) and next prime (253787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253787) by changing a digit.

253782 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (23946).

2²⁵³⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287352).

253782 is an abundant number, since it is smaller than the sum of its proper divisors (320922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253782 is a wasteful number, since it uses less digits than its factorization.

253782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 253782 is about 503.7678036556. The cubic root of 253782 is about 63.3121320232.

It can be divided in two parts, 253 and 782, that added together give a triangular number (1035 = T₄₅).

The spelling of 253782 in words is "two hundred fifty-three thousand, seven hundred eighty-two".