253969 has 2 divisors, whose sum is σ = 253970. Its totient is φ = 253968.

The previous prime is 253951. The next prime is 253987. The reversal of 253969 is 969352.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (253951) and next prime (253987).

It can be written as a sum of positive squares in only one way, i.e., 250000 + 3969 = 500^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 253969 - 2⁵ = 253937 is a prime.

It is a super-2 number, since 2×253969² = 129000505922, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126984 + 126985.

It is an arithmetic number, because the mean of its divisors is an integer number (126985).

2²⁵³⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

253969 is a deficient number, since it is larger than the sum of its proper divisors (1).

253969 is an equidigital number, since it uses as much as digits as its factorization.

253969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14580, while the sum is 34.

The square root of 253969 is about 503.9533708589. The cubic root of 253969 is about 63.3276787811.

It can be divided in two parts, 25 and 3969, that multiplied together give a square (99225 = 315²).

The spelling of 253969 in words is "two hundred fifty-three thousand, nine hundred sixty-nine".