415021 has 4 divisors (see below), whose sum is σ = 439452. Its totient is φ = 390592.

The previous prime is 415013. The next prime is 415031. The reversal of 415021 is 120514.

415021 = 64² + 65² + ... + 114².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 120514 = 2 ⋅60257.

It can be written as a sum of positive squares in 2 ways, for example, as 202500 + 212521 = 450^2 + 461^2 .

It is not a de Polignac number, because 415021 - 2³ = 415013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414992 and 415010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415031) 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, 12190 + ... + 12223.

It is an arithmetic number, because the mean of its divisors is an integer number (109863).

2⁴¹⁵⁰²¹ is an apocalyptic number.

It is an amenable number.

415021 is a deficient number, since it is larger than the sum of its proper divisors (24431).

415021 is a wasteful number, since it uses less digits than its factorization.

415021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24430.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 415021 is about 644.2212352911. The cubic root of 415021 is about 74.5916173883.

Adding to 415021 its reverse (120514), we get a palindrome (535535).

The spelling of 415021 in words is "four hundred fifteen thousand, twenty-one".