823131801 has 10 divisors (see below), whose sum is σ = 1229616762. Its totient is φ = 548754480.

The previous prime is 823131791. The next prime is 823131863. The reversal of 823131801 is 108131328.

It can be written as a sum of positive squares in only one way, i.e., 731432025 + 91699776 = 27045^2 + 9576^2 .

It is not a de Polignac number, because 823131801 - 2¹⁷ = 823000729 is a prime.

It is a super-3 number, since 3×823131801³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (823131301) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5080980 + ... + 5081141.

Almost surely, 2^823131801 is an apocalyptic number.

823131801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

823131801 is a deficient number, since it is larger than the sum of its proper divisors (406484961).

823131801 is a wasteful number, since it uses less digits than its factorization.

823131801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162133 (or 10162124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 823131801 is about 28690.2736306226. The cubic root of 823131801 is about 937.1802480750.

The spelling of 823131801 in words is "eight hundred twenty-three million, one hundred thirty-one thousand, eight hundred one".