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37381 = 291289
BaseRepresentation
bin1001001000000101
31220021111
421020011
52144011
6445021
7213661
oct111005
956244
1037381
11260a3
1219771
1314026
14d8a1
15b121
hex9205

37381 has 4 divisors (see below), whose sum is σ = 38700. Its totient is φ = 36064.

The previous prime is 37379. The next prime is 37397. The reversal of 37381 is 18373.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 18373 = 19967.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 12100 = 159^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 37381 - 21 = 37379 is a prime.

It is a super-2 number, since 2×373812 = 2794678322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 616 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (9675).

237381 is an apocalyptic number.

It is an amenable number.

37381 is a deficient number, since it is larger than the sum of its proper divisors (1319).

37381 is a wasteful number, since it uses less digits than its factorization.

37381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318.

The product of its digits is 504, while the sum is 22.

The square root of 37381 is about 193.3416664871. The cubic root of 37381 is about 33.4362044218.

It can be divided in two parts, 373 and 81, that added together give a palindrome (454).

The spelling of 37381 in words is "thirty-seven thousand, three hundred eighty-one".

Divisors: 1 29 1289 37381