253827 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 134784.

The previous prime is 253823. The next prime is 253853. The reversal of 253827 is 728352.

It is not a de Polignac number, because 253827 - 2² = 253823 is a prime.

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

It is a d-powerful number, because it can be written as 2⁸ + 5² + 8⁴ + 3⁶ + 2¹⁷ + 7⁶ .

Its product of digits (3360) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 253827.

It is not an unprimeable number, because it can be changed into a prime (253823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174 + ... + 3252.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2²⁵³⁸²⁷ is an apocalyptic number.

253827 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

253827 is a deficient number, since it is larger than the sum of its proper divisors (206973).

253827 is a wasteful number, since it uses less digits than its factorization.

253827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

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

The square root of 253827 is about 503.8124651098. The cubic root of 253827 is about 63.3158739192.

The spelling of 253827 in words is "two hundred fifty-three thousand, eight hundred twenty-seven".