268953 has 8 divisors (see below), whose sum is σ = 368448. Its totient is φ = 174384.

The previous prime is 268937. The next prime is 268969. The reversal of 268953 is 359862.

It is a happy number.

268953 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (268937) and next prime (268969).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 268953 - 2⁴ = 268937 is a prime.

It is a d-powerful number, because it can be written as 2² + 6³ + 9⁴ + 8⁶ + 5² + 3 .

It is not an unprimeable number, because it can be changed into a prime (268913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (46056).

2²⁶⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

268953 is a deficient number, since it is larger than the sum of its proper divisors (99495).

268953 is a wasteful number, since it uses less digits than its factorization.

268953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463.

The product of its digits is 12960, while the sum is 33.

The square root of 268953 is about 518.6067874604. The cubic root of 268953 is about 64.5493882895.

Subtracting 268953 from its reverse (359862), we obtain a palindrome (90909).

It can be divided in two parts, 268 and 953, that added together give a palindrome (1221).

The spelling of 268953 in words is "two hundred sixty-eight thousand, nine hundred fifty-three".