826101 has 12 divisors (see below), whose sum is σ = 1256320. Its totient is φ = 521640.

The previous prime is 826097. The next prime is 826129. The reversal of 826101 is 101628.

It is not a de Polignac number, because 826101 - 2² = 826097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245 + ... + 2586.

2⁸²⁶¹⁰¹ is an apocalyptic number.

It is an amenable number.

826101 is a deficient number, since it is larger than the sum of its proper divisors (430219).

826101 is a wasteful number, since it uses less digits than its factorization.

826101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 826101 is about 908.9009847063. The cubic root of 826101 is about 93.8305760601.

Adding to 826101 its reverse (101628), we get a palindrome (927729).

The spelling of 826101 in words is "eight hundred twenty-six thousand, one hundred one".