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56767 is a prime number
BaseRepresentation
bin1101110110111111
32212212111
431312333
53304032
61114451
7324334
oct156677
985774
1056767
1139717
1228a27
131cab9
141698b
1511c47
hexddbf

56767 has 2 divisors, whose sum is σ = 56768. Its totient is φ = 56766.

The previous prime is 56747. The next prime is 56773. The reversal of 56767 is 76765.

56767 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56767 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28383 + 28384.

It is an arithmetic number, because the mean of its divisors is an integer number (28384).

256767 is an apocalyptic number.

56767 is a deficient number, since it is larger than the sum of its proper divisors (1).

56767 is an equidigital number, since it uses as much as digits as its factorization.

56767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 31.

The square root of 56767 is about 238.2582632355. The cubic root of 56767 is about 38.4325010574.

The spelling of 56767 in words is "fifty-six thousand, seven hundred sixty-seven".