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37161 = 324129
BaseRepresentation
bin1001000100101001
31212222100
421010221
52142121
6444013
7213225
oct110451
955870
1037161
1125a13
1219609
1313bb7
14d785
15b026
hex9129

37161 has 6 divisors (see below), whose sum is σ = 53690. Its totient is φ = 24768.

The previous prime is 37159. The next prime is 37171. The reversal of 37161 is 16173.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 4761 = 180^2 + 69^2 .

It is not a de Polignac number, because 37161 - 21 = 37159 is a prime.

It is a Duffinian number.

It is a Curzon number.

37161 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (37171) 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, 2056 + ... + 2073.

237161 is an apocalyptic number.

It is an amenable number.

37161 is a deficient number, since it is larger than the sum of its proper divisors (16529).

37161 is a wasteful number, since it uses less digits than its factorization.

37161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4132 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 37161 is about 192.7718859170. The cubic root of 37161 is about 33.3704808088.

The spelling of 37161 in words is "thirty-seven thousand, one hundred sixty-one".

Divisors: 1 3 9 4129 12387 37161