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38097 = 331783
BaseRepresentation
bin1001010011010001
31221021000
421103101
52204342
6452213
7216033
oct112321
957230
1038097
1126694
121a069
1314457
14dc53
15b44c
hex94d1

38097 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 23616.

The previous prime is 38083. The next prime is 38113. The reversal of 38097 is 79083.

It is a happy number.

It is not a de Polignac number, because 38097 - 214 = 21713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

38097 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38097.

It is not an unprimeable number, because it can be changed into a prime (38047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

238097 is an apocalyptic number.

It is an amenable number.

38097 is a deficient number, since it is larger than the sum of its proper divisors (22383).

38097 is a wasteful number, since it uses less digits than its factorization.

38097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 38097 is about 195.1845280754. The cubic root of 38097 is about 33.6483360440.

Subtracting from 38097 its product of nonzero digits (1512), we obtain a triangular number (36585 = T270).

It can be divided in two parts, 3 and 8097, that added together give a square (8100 = 902).

The spelling of 38097 in words is "thirty-eight thousand, ninety-seven".

Divisors: 1 3 9 17 27 51 83 153 249 459 747 1411 2241 4233 12699 38097