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BaseRepresentation
bin10011101011101
3111211020
42131131
5310302
6114353
741244
oct23535
914736
1010077
117631
1259b9
134782
14395b
152ebc
hex275d

10077 has 4 divisors (see below), whose sum is σ = 13440. Its totient is φ = 6716.

The previous prime is 10069. The next prime is 10079. The reversal of 10077 is 77001.

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 an emirpimes, since its reverse is a distinct semiprime: 77001 = 325667.

It is a cyclic number.

It is not a de Polignac number, because 10077 - 23 = 10069 is a prime.

It is a D-number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079) 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, 1677 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

210077 is an apocalyptic number.

It is an amenable number.

10077 is a deficient number, since it is larger than the sum of its proper divisors (3363).

10077 is an equidigital number, since it uses as much as digits as its factorization.

10077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 10077 is about 100.3842617147. The cubic root of 10077 is about 21.5995027320.

Adding to 10077 its reverse (77001), we get a palindrome (87078).

The spelling of 10077 in words is "ten thousand, seventy-seven", and thus it is an iban number.

Divisors: 1 3 3359 10077