253967 has 12 divisors (see below), whose sum is σ = 303696. Its totient is φ = 211680.

The previous prime is 253951. The next prime is 253969. The reversal of 253967 is 769352.

253967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253967 - 2⁴ = 253951 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a zygodrome in base 2.

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 253967.

It is not an unprimeable number, because it can be changed into a prime (253969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3443 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (25308).

2²⁵³⁹⁶⁷ is an apocalyptic number.

253967 is a deficient number, since it is larger than the sum of its proper divisors (49729).

253967 is an equidigital number, since it uses as much as digits as its factorization.

253967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 253967 is about 503.9513865444. The cubic root of 253967 is about 63.3275125460.

The spelling of 253967 in words is "two hundred fifty-three thousand, nine hundred sixty-seven".