223953 has 8 divisors (see below), whose sum is σ = 314400. Its totient is φ = 141408.

The previous prime is 223939. The next prime is 223963. The reversal of 223953 is 359322.

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

It is not a de Polignac number, because 223953 - 2⁵ = 223921 is a prime.

It is a Curzon number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (223903) 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, 1908 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (39300).

2²²³⁹⁵³ is an apocalyptic number.

It is an amenable number.

223953 is a deficient number, since it is larger than the sum of its proper divisors (90447).

223953 is a wasteful number, since it uses less digits than its factorization.

223953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951.

The product of its digits is 1620, while the sum is 24.

The square root of 223953 is about 473.2367272307. The cubic root of 223953 is about 60.7275315308.

It can be divided in two parts, 223 and 953, that added together give a triangular number (1176 = T₄₈).

The spelling of 223953 in words is "two hundred twenty-three thousand, nine hundred fifty-three".