253828 has 24 divisors (see below), whose sum is σ = 483840. Its totient is φ = 116160.

The previous prime is 253823. The next prime is 253853. The reversal of 253828 is 828352.

253828 is a nontrivial binomial coefficient, being equal to C(713, 2).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 253796 and 253805.

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

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 in 7 ways as a sum of consecutive naturals, for example, 2808 + ... + 2896.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²⁵³⁸²⁸ is an apocalyptic number.

253828 is the 712-nd triangular number.

253828 is the 238-th centered nonagonal number.

It is an amenable number.

253828 is a deficient number, since it is larger than the sum of its proper divisors (230012).

253828 is a wasteful number, since it uses less digits than its factorization.

253828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 253828 is about 503.8134575416. The cubic root of 253828 is about 63.3159570675.

It can be divided in two parts, 253 and 828, that added together give a triangular number (1081 = T₄₆).

The spelling of 253828 in words is "two hundred fifty-three thousand, eight hundred twenty-eight".