38745 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 17280.

The previous prime is 38737. The next prime is 38747. The reversal of 38745 is 54783.

Added to its reverse (54783) it gives a triangular number (93528 = T_{432}).

It is not a de Polignac number, because 38745 - 2^{3} = 38737 is a prime.

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

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

Its product of digits (3360) is a multiple of the sum of its prime divisors (56).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 38745.

It is not an unprimeable number, because it can be changed into a prime (38747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2^{38745} is an apocalyptic number.

38745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38745 is an abundant number, since it is smaller than the sum of its proper divisors (41895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

38745 is a wasteful number, since it uses less digits than its factorization.

38745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 38745 is about 196.8374964279. The cubic root of 38745 is about 33.8380417357.

Adding to 38745 its reverse (54783), we get a triangular number (93528 = T_{432}).

The spelling of 38745 in words is "thirty-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 123 135 189 205 287 315 369 615 861 945 1107 1435 1845 2583 4305 5535 7749 12915 38745

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