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37994 = 2112157
BaseRepresentation
bin1001010001101010
31221010012
421101222
52203434
6451522
7215525
oct112152
957105
1037994
1126600
1219ba2
13143a8
14dbbc
15b3ce
hex946a

37994 has 12 divisors (see below), whose sum is σ = 63042. Its totient is φ = 17160.

The previous prime is 37993. The next prime is 37997. The reversal of 37994 is 49973.

37994 = 52 + 62 + ... + 482.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34969 + 3025 = 187^2 + 55^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 37994.

It is not an unprimeable number, because it can be changed into a prime (37991) 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 5 ways as a sum of consecutive naturals, for example, 164 + ... + 320.

237994 is an apocalyptic number.

37994 is a deficient number, since it is larger than the sum of its proper divisors (25048).

37994 is a wasteful number, since it uses less digits than its factorization.

37994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 37994 is about 194.9204966134. The cubic root of 37994 is about 33.6179845141.

It can be divided in two parts, 3 and 7994, that added together give a palindrome (7997).

The spelling of 37994 in words is "thirty-seven thousand, nine hundred ninety-four".

Divisors: 1 2 11 22 121 157 242 314 1727 3454 18997 37994