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11761 = 19619

11761 has 4 divisors (see below), whose sum is σ = 12400. Its totient is φ = 11124.

The previous prime is 11743. The next prime is 11777. The reversal of 11761 is 16711.

11761 is nontrivially palindromic in base 3.

11761 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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: 16711 = 17983.

It is a cyclic number.

It is not a de Polignac number, because 11761 - 27 = 11633 is a prime.

It is a super-2 number, since 2×117612 = 276642242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11701) 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, 291 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

211761 is an apocalyptic number.

11761 is the 49-th centered decagonal number.

It is an amenable number.

11761 is a deficient number, since it is larger than the sum of its proper divisors (639).

11761 is an equidigital number, since it uses as much as digits as its factorization.

11761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its digits is 42, while the sum is 16.

The square root of 11761 is about 108.4481442903. The cubic root of 11761 is about 22.7412718601.

Subtracting 11761 from its reverse (16711), we obtain a triangular number (4950 = T99).

The spelling of 11761 in words is "eleven thousand, seven hundred sixty-one".

Divisors: 1 19 619 11761