407521 has 2 divisors, whose sum is σ = 407522. Its totient is φ = 407520.

The previous prime is 407509. The next prime is 407527. The reversal of 407521 is 125704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 3025 = 636^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 407521 - 2⁵ = 407489 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407527) 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 as a sum of consecutive naturals, namely, 203760 + 203761.

It is an arithmetic number, because the mean of its divisors is an integer number (203761).

2⁴⁰⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

407521 is a deficient number, since it is larger than the sum of its proper divisors (1).

407521 is an equidigital number, since it uses as much as digits as its factorization.

407521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 407521 is about 638.3737149977. The cubic root of 407521 is about 74.1395588908.

It can be divided in two parts, 4075 and 21, that added together give a 12-th power (4096 = 2¹²).

The spelling of 407521 in words is "four hundred seven thousand, five hundred twenty-one".