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23829 = 313247
BaseRepresentation
bin101110100010101
31012200120
411310111
51230304
6302153
7126321
oct56425
935616
1023829
11169a3
1211959
13ab00
148981
1570d9
hex5d15

23829 has 12 divisors (see below), whose sum is σ = 35136. Its totient is φ = 14352.

The previous prime is 23827. The next prime is 23831. The reversal of 23829 is 92832.

It is an interprime number because it is at equal distance from previous prime (23827) and next prime (23831).

It is not a de Polignac number, because 23829 - 21 = 23827 is a prime.

It is a Curzon number.

23829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 23799 and 23808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23827) 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, 484 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (2928).

223829 is an apocalyptic number.

It is an amenable number.

23829 is a deficient number, since it is larger than the sum of its proper divisors (11307).

23829 is a wasteful number, since it uses less digits than its factorization.

23829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 23829 is about 154.3664471315. The cubic root of 23829 is about 28.7763212007.

The spelling of 23829 in words is "twenty-three thousand, eight hundred twenty-nine".

Divisors: 1 3 13 39 47 141 169 507 611 1833 7943 23829