10456319 has 2 divisors, whose sum is σ = 10456320. Its totient is φ = 10456318.

The previous prime is 10456307. The next prime is 10456321. The reversal of 10456319 is 91365401.

10456319 is nontrivially palindromic in base 11.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10456319 - 2⁸ = 10456063 is a prime.

It is a super-2 number, since 2×10456319² = 218669214059522, which contains 22 as substring.

Together with 10456321, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10456291 and 10456300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10456379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5228159 + 5228160.

It is an arithmetic number, because the mean of its divisors is an integer number (5228160).

Almost surely, 2^10456319 is an apocalyptic number.

10456319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10456319 is an equidigital number, since it uses as much as digits as its factorization.

10456319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 10456319 is about 3233.6232000652. The cubic root of 10456319 is about 218.6718813305.

The spelling of 10456319 in words is "ten million, four hundred fifty-six thousand, three hundred nineteen".