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38641 = 172273
BaseRepresentation
bin1001011011110001
31222000011
421123301
52214031
6454521
7220441
oct113361
958004
1038641
1127039
121a441
1314785
1410121
15b6b1
hex96f1

38641 has 4 divisors (see below), whose sum is σ = 40932. Its totient is φ = 36352.

The previous prime is 38639. The next prime is 38651. The reversal of 38641 is 14683.

38641 = T159 + T160 + T161.

38641 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 32400 + 6241 = 180^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 38641 - 21 = 38639 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120 + ... + 1153.

It is an arithmetic number, because the mean of its divisors is an integer number (10233).

238641 is an apocalyptic number.

38641 is the 161-st centered triangular number.

It is an amenable number.

38641 is a deficient number, since it is larger than the sum of its proper divisors (2291).

38641 is a wasteful number, since it uses less digits than its factorization.

38641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290.

The product of its digits is 576, while the sum is 22.

The square root of 38641 is about 196.5731416038. The cubic root of 38641 is about 33.8077383867.

The spelling of 38641 in words is "thirty-eight thousand, six hundred forty-one".

Divisors: 1 17 2273 38641