10459 has 2 divisors, whose sum is σ = 10460. Its totient is φ = 10458.

The previous prime is 10457. The next prime is 10463. The reversal of 10459 is 95401.

10459 = T₈₂ + T₈₃ + T₈₄.

It is a weak prime.

It is an emirp because it is prime and its reverse (95401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10459 - 2¹ = 10457 is a prime.

Together with 10457, it forms a pair of twin primes.

It is an Ulam number.

10459 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (10453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5229 + 5230.

It is an arithmetic number, because the mean of its divisors is an integer number (5230).

2¹⁰⁴⁵⁹ is an apocalyptic number.

10459 is the 84-th centered triangular number.

10459 is a deficient number, since it is larger than the sum of its proper divisors (1).

10459 is an equidigital number, since it uses as much as digits as its factorization.

10459 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10459 is about 102.2692524662. The cubic root of 10459 is about 21.8690568889.

Subtracting from 10459 its sum of digits (19), we obtain a triangular number (10440 = T₁₄₄).

The spelling of 10459 in words is "ten thousand, four hundred fifty-nine".