253819 has 2 divisors, whose sum is σ = 253820. Its totient is φ = 253818.

The previous prime is 253811. The next prime is 253823. The reversal of 253819 is 918352.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 253819 - 2³ = 253811 is a prime.

It is a super-2 number, since 2×253819² = 128848169522, which contains 22 as substring.

It is an Ulam number.

253819 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (253811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126909 + 126910.

It is an arithmetic number, because the mean of its divisors is an integer number (126910).

2²⁵³⁸¹⁹ is an apocalyptic number.

253819 is a deficient number, since it is larger than the sum of its proper divisors (1).

253819 is an equidigital number, since it uses as much as digits as its factorization.

253819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 28.

The square root of 253819 is about 503.8045255851. The cubic root of 253819 is about 63.3152087256.

It can be divided in two parts, 25 and 3819, that added together give a square (3844 = 62²).

The spelling of 253819 in words is "two hundred fifty-three thousand, eight hundred nineteen".