824641 has 2 divisors, whose sum is σ = 824642. Its totient is φ = 824640.

The previous prime is 824609. The next prime is 824647. The reversal of 824641 is 146428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 14641 = 900^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 824641 - 2⁵ = 824609 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (824647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412320 + 412321.

It is an arithmetic number, because the mean of its divisors is an integer number (412321).

2⁸²⁴⁶⁴¹ is an apocalyptic number.

It is an amenable number.

824641 is a deficient number, since it is larger than the sum of its proper divisors (1).

824641 is an equidigital number, since it uses as much as digits as its factorization.

824641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 25.

The square root of 824641 is about 908.0974617297. The cubic root of 824641 is about 93.7752666712.

It can be divided in two parts, 8 and 24641, that added together give a square (24649 = 157²).

The spelling of 824641 in words is "eight hundred twenty-four thousand, six hundred forty-one".