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67023 = 3211677
BaseRepresentation
bin10000010111001111
310101221100
4100113033
54121043
61234143
7366255
oct202717
9111840
1067023
11463a0
1232953
1324678
141a5d5
1514cd3
hex105cf

67023 has 12 divisors (see below), whose sum is σ = 105768. Its totient is φ = 40560.

The previous prime is 67021. The next prime is 67033. The reversal of 67023 is 32076.

It is not a de Polignac number, because 67023 - 21 = 67021 is a prime.

67023 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66987 and 67005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (8814).

267023 is an apocalyptic number.

67023 is a deficient number, since it is larger than the sum of its proper divisors (38745).

67023 is a wasteful number, since it uses less digits than its factorization.

67023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 67023 is about 258.8880066747. Note that the first 3 decimals coincide. The cubic root of 67023 is about 40.6201280154.

Adding to 67023 its reverse (32076), we get a palindrome (99099).

The spelling of 67023 in words is "sixty-seven thousand, twenty-three".

Divisors: 1 3 9 11 33 99 677 2031 6093 7447 22341 67023