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37129 = 107347
BaseRepresentation
bin1001000100001001
31212221011
421010021
52142004
6443521
7213151
oct110411
955834
1037129
1125994
12195a1
1313b91
14d761
15b004
hex9109

37129 has 4 divisors (see below), whose sum is σ = 37584. Its totient is φ = 36676.

The previous prime is 37123. The next prime is 37139. The reversal of 37129 is 92173.

It can be divided in two parts, 3712 and 9, that added together give a square (3721 = 612).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 37129 - 25 = 37097 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 an Ulam number.

It is a pancake number, because a pancake can be divided into 37129 parts by 272 straight cuts.

It is a Duffinian number.

37129 is a lucky number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37129.

It is not an unprimeable number, because it can be changed into a prime (37123) 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, 67 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (9396).

237129 is an apocalyptic number.

It is an amenable number.

37129 is a deficient number, since it is larger than the sum of its proper divisors (455).

37129 is a wasteful number, since it uses less digits than its factorization.

37129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its digits is 378, while the sum is 22.

The square root of 37129 is about 192.6888683863. The cubic root of 37129 is about 33.3608994193.

The spelling of 37129 in words is "thirty-seven thousand, one hundred twenty-nine".

Divisors: 1 107 347 37129