253628 has 12 divisors (see below), whose sum is σ = 447720. Its totient is φ = 125712.

The previous prime is 253613. The next prime is 253633. The reversal of 253628 is 826352.

It is a junction number, because it is equal to n+sod(n) for n = 253597 and 253606.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253628.

It is an unprimeable number.

253628 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 3 ways as a sum of consecutive naturals, for example, 458 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (37310).

2²⁵³⁶²⁸ is an apocalyptic number.

It is an amenable number.

253628 is a deficient number, since it is larger than the sum of its proper divisors (194092).

253628 is a wasteful number, since it uses less digits than its factorization.

253628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 253628 is about 503.6149322647. The cubic root of 253628 is about 63.2993230754.

The spelling of 253628 in words is "two hundred fifty-three thousand, six hundred twenty-eight".