824981 has 2 divisors, whose sum is σ = 824982. Its totient is φ = 824980.

The previous prime is 824977. The next prime is 824983. The reversal of 824981 is 189428.

It is a happy number.

824981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 538756 + 286225 = 734^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 824981 - 2² = 824977 is a prime.

It is a super-2 number, since 2×824981² = 1361187300722, which contains 22 as substring.

Together with 824983, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₆₅₇₉₅ and since 824981 and 65795 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 824981.

It is not a weakly prime, because it can be changed into another prime (824983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412490 + 412491.

It is an arithmetic number, because the mean of its divisors is an integer number (412491).

2⁸²⁴⁹⁸¹ is an apocalyptic number.

It is an amenable number.

824981 is a deficient number, since it is larger than the sum of its proper divisors (1).

824981 is an equidigital number, since it uses as much as digits as its factorization.

824981 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 32.

The square root of 824981 is about 908.2846470133. The cubic root of 824981 is about 93.7881527674.

The spelling of 824981 in words is "eight hundred twenty-four thousand, nine hundred eighty-one".