825216 has 64 divisors (see below), whose sum is σ = 2513280. Its totient is φ = 235008.

The previous prime is 825203. The next prime is 825229. The reversal of 825216 is 612528.

It is an interprime number because it is at equal distance from previous prime (825203) and next prime (825229).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2535 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (39270).

2⁸²⁵²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256640).

825216 is an abundant number, since it is smaller than the sum of its proper divisors (1688064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825216 is a wasteful number, since it uses less digits than its factorization.

825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 825216 is about 908.4140025341. The cubic root of 825216 is about 93.7970572648.

The spelling of 825216 in words is "eight hundred twenty-five thousand, two hundred sixteen".