828417 has 8 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 550160.

The previous prime is 828409. The next prime is 828431. The reversal of 828417 is 714828.

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 828417 - 2³ = 828409 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828407) 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, 1084 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

It is a Proth number, since it is equal to 809 ⋅ 2¹⁰ + 1 and 809 < 2¹⁰.

2⁸²⁸⁴¹⁷ is an apocalyptic number.

It is an amenable number.

828417 is a deficient number, since it is larger than the sum of its proper divisors (280383).

828417 is a wasteful number, since it uses less digits than its factorization.

828417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063.

The product of its digits is 3584, while the sum is 30.

The square root of 828417 is about 910.1741591586. The cubic root of 828417 is about 93.9181798963.

The spelling of 828417 in words is "eight hundred twenty-eight thousand, four hundred seventeen".