828416261 has 2 divisors, whose sum is σ = 828416262. Its totient is φ = 828416260.

The previous prime is 828416257. The next prime is 828416263. The reversal of 828416261 is 162614828.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 424607236 + 403809025 = 20606^2 + 20095^2 .

It is a cyclic number.

It is not a de Polignac number, because 828416261 - 2² = 828416257 is a prime.

It is a super-3 number, since 3×828416261³ (a number of 28 digits) contains 333 as substring.

Together with 828416263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828416263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414208130 + 414208131.

It is an arithmetic number, because the mean of its divisors is an integer number (414208131).

Almost surely, 2^828416261 is an apocalyptic number.

It is an amenable number.

828416261 is a deficient number, since it is larger than the sum of its proper divisors (1).

828416261 is an equidigital number, since it uses as much as digits as its factorization.

828416261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36864, while the sum is 38.

The square root of 828416261 is about 28782.2212659134. The cubic root of 828416261 is about 939.1815196929.

The spelling of 828416261 in words is "eight hundred twenty-eight million, four hundred sixteen thousand, two hundred sixty-one".