10049 has 4 divisors (see below), whose sum is σ = 10836. Its totient is φ = 9264.

The previous prime is 10039. The next prime is 10061. The reversal of 10049 is 94001.

10049 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 9025 = 32^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 10049 - 2^{12} = 5953 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 10049.

It is not an unprimeable number, because it can be changed into a prime (10009) 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, 374 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

2^{10049} is an apocalyptic number.

It is an amenable number.

10049 is a deficient number, since it is larger than the sum of its proper divisors (787).

10049 is an equidigital number, since it uses as much as digits as its factorization.

10049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10049 is about 100.2447006081. The cubic root of 10049 is about 21.5794786807.

It can be divided in two parts, 100 and 49, that multiplied together give a square (4900 = 70^{2}).

The spelling of 10049 in words is "ten thousand, forty-nine".

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