22953 has 8 divisors (see below), whose sum is σ = 35008. Its totient is φ = 13104.

The previous prime is 22943. The next prime is 22961. The reversal of 22953 is 35922.

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

It is a Wieferich number.

It is not a de Polignac number, because 22953 - 2^{4} = 22937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1093 = 22953 / (2 + 2 + 9 + 5 + 3).

It is a d-powerful number, because it can be written as **2**^{3} + **2**^{7} + **9** + **5**^{5} + **3**^{9} .

It is the 152-nd Hogben number.

It is a Duffinian number.

22953 is a lucky number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (22943) 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, 526 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (4376).

2^{22953} is an apocalyptic number.

It is an amenable number.

22953 is a deficient number, since it is larger than the sum of its proper divisors (12055).

22953 is a wasteful number, since it uses less digits than its factorization.

22953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103.

The product of its digits is 540, while the sum is 21.

The square root of 22953 is about 151.5024752273. The cubic root of 22953 is about 28.4192853208.

The spelling of 22953 in words is "twenty-two thousand, nine hundred fifty-three".

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