23253 has 8 divisors (see below), whose sum is σ = 32448. Its totient is φ = 14784.

The previous prime is 23251. The next prime is 23269. The reversal of 23253 is 35232.

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

It is not a de Polignac number, because 23253 - 2¹ = 23251 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 3³ + 2¹⁴ + 5² + 3⁸ .

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23251) 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, 100 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

23253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23253 is a deficient number, since it is larger than the sum of its proper divisors (9195).

23253 is a wasteful number, since it uses less digits than its factorization.

23253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

The product of its digits is 180, while the sum is 15.

The square root of 23253 is about 152.4893438900. The cubic root of 23253 is about 28.5425648985.

Adding to 23253 its reverse (35232), we get a palindrome (58485).

It can be divided in two parts, 23 and 253, that added together give a triangular number (276 = T₂₃).

The spelling of 23253 in words is "twenty-three thousand, two hundred fifty-three".