253937 has 2 divisors, whose sum is σ = 253938. Its totient is φ = 253936.

The previous prime is 253919. The next prime is 253949. The reversal of 253937 is 739352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 7921 = 496^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 253937 - 2⁸ = 253681 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253937.

It is not a weakly prime, because it can be changed into another prime (253907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126968 + 126969.

It is an arithmetic number, because the mean of its divisors is an integer number (126969).

2²⁵³⁹³⁷ is an apocalyptic number.

It is an amenable number.

253937 is a deficient number, since it is larger than the sum of its proper divisors (1).

253937 is an equidigital number, since it uses as much as digits as its factorization.

253937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5670, while the sum is 29.

The square root of 253937 is about 503.9216208896. The cubic root of 253937 is about 63.3250189147.

The spelling of 253937 in words is "two hundred fifty-three thousand, nine hundred thirty-seven".