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23007 = 37669
BaseRepresentation
bin101100111011111
31011120010
411213133
51214012
6254303
7124035
oct54737
934503
1023007
1116316
1211393
13a61a
148555
156c3c
hex59df

23007 has 4 divisors (see below), whose sum is σ = 30680. Its totient is φ = 15336.

The previous prime is 23003. The next prime is 23011. The reversal of 23007 is 70032.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (23003) and next prime (23011).

It is not a de Polignac number, because 23007 - 22 = 23003 is a prime.

It is a D-number.

It is a Duffinian number.

23007 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 22983 and 23001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3832 + ... + 3837.

It is an arithmetic number, because the mean of its divisors is an integer number (7670).

223007 is an apocalyptic number.

23007 is a deficient number, since it is larger than the sum of its proper divisors (7673).

23007 is an equidigital number, since it uses as much as digits as its factorization.

23007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672.

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 23007 is about 151.6805854419. The cubic root of 23007 is about 28.4415545883.

Adding to 23007 its reverse (70032), we get a palindrome (93039).

The spelling of 23007 in words is "twenty-three thousand, seven", and thus it is an iban number.

Divisors: 1 3 7669 23007