253801 has 2 divisors, whose sum is σ = 253802. Its totient is φ = 253800.

The previous prime is 253789. The next prime is 253811. The reversal of 253801 is 108352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 27225 = 476^2 + 165^2 .

It is a cyclic number.

It is not a de Polignac number, because 253801 - 2⁵ = 253769 is a prime.

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

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 as a sum of consecutive naturals, namely, 126900 + 126901.

It is an arithmetic number, because the mean of its divisors is an integer number (126901).

2²⁵³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

253801 is a deficient number, since it is larger than the sum of its proper divisors (1).

253801 is an equidigital number, since it uses as much as digits as its factorization.

253801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 253801 is about 503.7866611970. The cubic root of 253801 is about 63.3137119888.

The spelling of 253801 in words is "two hundred fifty-three thousand, eight hundred one".