456113 has 8 divisors (see below), whose sum is σ = 544128. Its totient is φ = 373824.

The previous prime is 456109. The next prime is 456119. The reversal of 456113 is 311654.

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

It is a cyclic number.

It is not a de Polignac number, because 456113 - 2² = 456109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (68016).

2⁴⁵⁶¹¹³ is an apocalyptic number.

It is an amenable number.

456113 is a deficient number, since it is larger than the sum of its proper divisors (88015).

456113 is a wasteful number, since it uses less digits than its factorization.

456113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863.

The product of its digits is 360, while the sum is 20.

The square root of 456113 is about 675.3613847415. The cubic root of 456113 is about 76.9763800043.

Adding to 456113 its reverse (311654), we get a palindrome (767767).

The spelling of 456113 in words is "four hundred fifty-six thousand, one hundred thirteen".