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38601 = 324289
BaseRepresentation
bin1001011011001001
31221221200
421123021
52213401
6454413
7220353
oct113311
957850
1038601
1127002
121a409
1314754
14100d3
15b686
hex96c9

38601 has 6 divisors (see below), whose sum is σ = 55770. Its totient is φ = 25728.

The previous prime is 38593. The next prime is 38603. The reversal of 38601 is 10683.

Added to its reverse (10683) it gives a square (49284 = 2222).

38601 = 242 + 252 + ... + 502.

38601 is nontrivially palindromic in base 8.

38601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 576 = 195^2 + 24^2 .

It is not a de Polignac number, because 38601 - 23 = 38593 is a prime.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2136 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (9295).

238601 is an apocalyptic number.

It is an amenable number.

38601 is a deficient number, since it is larger than the sum of its proper divisors (17169).

38601 is a wasteful number, since it uses less digits than its factorization.

38601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38601 is about 196.4713719604. The cubic root of 38601 is about 33.7960687747.

Subtracting from 38601 its sum of digits (18), we obtain a palindrome (38583).

Adding to 38601 its reverse (10683), we get a square (49284 = 2222).

The spelling of 38601 in words is "thirty-eight thousand, six hundred one".

Divisors: 1 3 9 4289 12867 38601