456521 has 4 divisors (see below), whose sum is σ = 491652. Its totient is φ = 421392.

The previous prime is 456517. The next prime is 456523. The reversal of 456521 is 125654.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 125654 = 2 ⋅62827.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 436921 = 140^2 + 661^2 .

It is a cyclic number.

It is not a de Polignac number, because 456521 - 2² = 456517 is a prime.

It is a super-2 number, since 2×456521² = 416822846882, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17546 + ... + 17571.

It is an arithmetic number, because the mean of its divisors is an integer number (122913).

2⁴⁵⁶⁵²¹ is an apocalyptic number.

It is an amenable number.

456521 is a deficient number, since it is larger than the sum of its proper divisors (35131).

456521 is a wasteful number, since it uses less digits than its factorization.

456521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35130.

The product of its digits is 1200, while the sum is 23.

The square root of 456521 is about 675.6633777259. The cubic root of 456521 is about 76.9993253441. Note that the first 3 decimals are identical.

The spelling of 456521 in words is "four hundred fifty-six thousand, five hundred twenty-one".