253949 has 2 divisors, whose sum is σ = 253950. Its totient is φ = 253948.

The previous prime is 253937. The next prime is 253951. The reversal of 253949 is 949352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168100 + 85849 = 410^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 253949 - 2¹² = 249853 is a prime.

Together with 253951, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253949.

It is not a weakly prime, because it can be changed into another prime (253909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126974 + 126975.

It is an arithmetic number, because the mean of its divisors is an integer number (126975).

2²⁵³⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

253949 is a deficient number, since it is larger than the sum of its proper divisors (1).

253949 is an equidigital number, since it uses as much as digits as its factorization.

253949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 32.

The square root of 253949 is about 503.9335273625. The cubic root of 253949 is about 63.3260163908.

The spelling of 253949 in words is "two hundred fifty-three thousand, nine hundred forty-nine".