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65023 = 721327
BaseRepresentation
bin1111110111111111
310022012021
433313333
54040043
61221011
7360400
oct176777
9108167
1065023
1144942
1231767
132379a
14199a7
15143ed
hexfdff

65023 has 6 divisors (see below), whose sum is σ = 75696. Its totient is φ = 55692.

The previous prime is 65011. The next prime is 65027. The reversal of 65023 is 32056.

It is a de Polignac number, because none of the positive numbers 2k-65023 is a prime.

It is a Carol number, being equal to (28 - 1)2 - 2.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 64988 and 65006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 615 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (12616).

265023 is an apocalyptic number.

65023 is a deficient number, since it is larger than the sum of its proper divisors (10673).

65023 is a wasteful number, since it uses less digits than its factorization.

65023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 65023 is about 254.9960784012. The cubic root of 65023 is about 40.2119994211.

The spelling of 65023 in words is "sixty-five thousand, twenty-three".

Divisors: 1 7 49 1327 9289 65023