253633 has 2 divisors, whose sum is σ = 253634. Its totient is φ = 253632.

The previous prime is 253613. The next prime is 253637. The reversal of 253633 is 336352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 53824 = 447^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 253633 - 2⁵ = 253601 is a prime.

It is not a weakly prime, because it can be changed into another prime (253637) 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 as a sum of consecutive naturals, namely, 126816 + 126817.

It is an arithmetic number, because the mean of its divisors is an integer number (126817).

2²⁵³⁶³³ is an apocalyptic number.

It is an amenable number.

253633 is a deficient number, since it is larger than the sum of its proper divisors (1).

253633 is an equidigital number, since it uses as much as digits as its factorization.

253633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 22.

The square root of 253633 is about 503.6198963504. The cubic root of 253633 is about 63.2997390318.

Adding to 253633 its reverse (336352), we get a palindrome (589985).

It can be divided in two parts, 2 and 53633, that added together give a palindrome (53635).

The spelling of 253633 in words is "two hundred fifty-three thousand, six hundred thirty-three".