462521 has 8 divisors (see below), whose sum is σ = 491400. Its totient is φ = 434560.

The previous prime is 462499. The next prime is 462529. The reversal of 462521 is 125264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 462400 = 11^2 + 680^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-462521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 462493 and 462502.

It is not an unprimeable number, because it can be changed into a prime (462529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 995 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2⁴⁶²⁵²¹ is an apocalyptic number.

462521 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

462521 is a deficient number, since it is larger than the sum of its proper divisors (28879).

462521 is a wasteful number, since it uses less digits than its factorization.

462521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its digits is 480, while the sum is 20.

The square root of 462521 is about 680.0889647686. The cubic root of 462521 is about 77.3351891317.

Adding to 462521 its reverse (125264), we get a palindrome (587785).

The spelling of 462521 in words is "four hundred sixty-two thousand, five hundred twenty-one".