253607 has 2 divisors, whose sum is σ = 253608. Its totient is φ = 253606.

The previous prime is 253601. The next prime is 253609. The reversal of 253607 is 706352.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 253607 - 2⁶ = 253543 is a prime.

It is a super-3 number, since 3×253607³ = 48933351796318629, which contains 333 as substring.

Together with 253609, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126803 + 126804.

It is an arithmetic number, because the mean of its divisors is an integer number (126804).

2²⁵³⁶⁰⁷ is an apocalyptic number.

253607 is a deficient number, since it is larger than the sum of its proper divisors (1).

253607 is an equidigital number, since it uses as much as digits as its factorization.

253607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 253607 is about 503.5940825705. The cubic root of 253607 is about 63.2975759990.

Adding to 253607 its reverse (706352), we get a palindrome (959959).

The spelling of 253607 in words is "two hundred fifty-three thousand, six hundred seven".