253567 has 2 divisors, whose sum is σ = 253568. Its totient is φ = 253566.

The previous prime is 253553. The next prime is 253573. The reversal of 253567 is 765352.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 253567 - 2⁷ = 253439 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126783 + 126784.

It is an arithmetic number, because the mean of its divisors is an integer number (126784).

2²⁵³⁵⁶⁷ is an apocalyptic number.

253567 is a deficient number, since it is larger than the sum of its proper divisors (1).

253567 is an equidigital number, since it uses as much as digits as its factorization.

253567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6300, while the sum is 28.

The square root of 253567 is about 503.5543664789. The cubic root of 253567 is about 63.2942479676.

It can be divided in two parts, 253 and 567, that added together give a triangular number (820 = T₄₀).

The spelling of 253567 in words is "two hundred fifty-three thousand, five hundred sixty-seven".