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38985 = 3523113
BaseRepresentation
bin1001100001001001
31222110220
421201021
52221420
6500253
7221442
oct114111
958426
1038985
1127321
121a689
131498b
14102c9
15b840
hex9849

38985 has 16 divisors (see below), whose sum is σ = 65664. Its totient is φ = 19712.

The previous prime is 38977. The next prime is 38993. The reversal of 38985 is 58983.

It is an interprime number because it is at equal distance from previous prime (38977) and next prime (38993).

It is a cyclic number.

It is not a de Polignac number, because 38985 - 23 = 38977 is a prime.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (8640) is a multiple of the sum of its prime divisors (144).

38985 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

238985 is an apocalyptic number.

It is an amenable number.

38985 is a deficient number, since it is larger than the sum of its proper divisors (26679).

38985 is a wasteful number, since it uses less digits than its factorization.

38985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its digits is 8640, while the sum is 33.

The square root of 38985 is about 197.4461952026. The cubic root of 38985 is about 33.9077661656.

It can be divided in two parts, 389 and 85, that added together give a palindrome (474).

The spelling of 38985 in words is "thirty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 23 69 113 115 339 345 565 1695 2599 7797 12995 38985