825981 has 8 divisors (see below), whose sum is σ = 1186080. Its totient is φ = 508272.

The previous prime is 825971. The next prime is 825983. The reversal of 825981 is 189528.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825981 - 2¹⁸ = 563837 is a prime.

It is a super-2 number, since 2×825981² = 1364489224722, which contains 22 as substring.

825981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825983) 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, 10551 + ... + 10628.

It is an arithmetic number, because the mean of its divisors is an integer number (148260).

2⁸²⁵⁹⁸¹ is an apocalyptic number.

It is an amenable number.

825981 is a deficient number, since it is larger than the sum of its proper divisors (360099).

825981 is a wasteful number, since it uses less digits than its factorization.

825981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21195.

The product of its digits is 5760, while the sum is 33.

The square root of 825981 is about 908.8349685174. The cubic root of 825981 is about 93.8260325421.

The spelling of 825981 in words is "eight hundred twenty-five thousand, nine hundred eighty-one".