823726431 has 12 divisors (see below), whose sum is σ = 1297993320. Its totient is φ = 499228080.

The previous prime is 823726403. The next prime is 823726459. The reversal of 823726431 is 134627328.

It is a happy number.

823726431 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 2 + 643 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (823726403) and next prime (823726459).

It is not a de Polignac number, because 823726431 - 2⁹ = 823725919 is a prime.

It is a super-2 number, since 2×823726431² = 1357050466255995522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823726031) 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, 4160136 + ... + 4160333.

It is an arithmetic number, because the mean of its divisors is an integer number (108166110).

Almost surely, 2^823726431 is an apocalyptic number.

823726431 is a deficient number, since it is larger than the sum of its proper divisors (474266889).

823726431 is a wasteful number, since it uses less digits than its factorization.

823726431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320486 (or 8320483 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 823726431 is about 28700.6346793934. The cubic root of 823726431 is about 937.4058666018.

The spelling of 823726431 in words is "eight hundred twenty-three million, seven hundred twenty-six thousand, four hundred thirty-one".