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37073 = 131283
BaseRepresentation
bin1001000011010001
31212212002
421003101
52141243
6443345
7213041
oct110321
955762
1037073
1125943
1219555
1313b4a
14d721
15aeb8
hex90d1

37073 has 4 divisors (see below), whose sum is σ = 37488. Its totient is φ = 36660.

The previous prime is 37061. The next prime is 37087.

37073 is nontrivially palindromic in base 10.

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 37073 - 24 = 37057 is a prime.

It is a Duffinian 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 37073.

It is not an unprimeable number, because it can be changed into a prime (37003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (9372).

237073 is an apocalyptic number.

It is an amenable number.

37073 is a deficient number, since it is larger than the sum of its proper divisors (415).

37073 is a wasteful number, since it uses less digits than its factorization.

37073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 37073 is about 192.5435015782. The cubic root of 37073 is about 33.3441187321.

The spelling of 37073 in words is "thirty-seven thousand, seventy-three".

Divisors: 1 131 283 37073