825417 has 16 divisors (see below), whose sum is σ = 1288000. Its totient is φ = 520992.

The previous prime is 825413. The next prime is 825421. The reversal of 825417 is 714528.

It is an interprime number because it is at equal distance from previous prime (825413) and next prime (825421).

It is not a de Polignac number, because 825417 - 2² = 825413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825417.

It is not an unprimeable number, because it can be changed into a prime (825413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (80500).

2⁸²⁵⁴¹⁷ is an apocalyptic number.

It is an amenable number.

825417 is a deficient number, since it is larger than the sum of its proper divisors (462583).

825417 is a wasteful number, since it uses less digits than its factorization.

825417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 825417 is about 908.5246281747. The cubic root of 825417 is about 93.8046721107.

Subtracting from 825417 its reverse (714528), we obtain a square (110889 = 333²).

It can be divided in two parts, 8 and 25417, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 825417 in words is "eight hundred twenty-five thousand, four hundred seventeen".