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1023 = 31131
BaseRepresentation
bin1111111111
31101220
433333
513043
64423
72661
oct1777
91356
101023
11850
12713
13609
14531
15483
hex3ff

1023 has 8 divisors (see below), whose sum is σ = 1536. Its totient is φ = 600.

The previous prime is 1021. The next prime is 1031. The reversal of 1023 is 3201.

1023 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 210-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1023 - 21 = 1021 is a prime.

It is an Ulam number.

It is a D-number.

1023 is a lucky number.

1023 is a nontrivial repdigit in base 2 and base 4.

It is a plaindrome in base 2, base 4, base 8, base 9 and base 16.

It is a nialpdrome in base 2, base 4, base 11 and base 14.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

Being equal to 4×44-1, it is a generalized Woodall number.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 48.

It is an arithmetic number, because the mean of its divisors is an integer number (192).

1023 is a deficient number, since it is larger than the sum of its proper divisors (513).

1023 is a wasteful number, since it uses less digits than its factorization.

1023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1023 is about 31.9843711834. The cubic root of 1023 is about 10.0760862861.

The spelling of 1023 in words is "one thousand, twenty-three", and is thus an iban number.

Divisors: 1 3 11 31 33 93 341 1023