823121407 has 2 divisors, whose sum is σ = 823121408. Its totient is φ = 823121406.

The previous prime is 823121353. The next prime is 823121441. The reversal of 823121407 is 704121328.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 823121407 - 2²³ = 814732799 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823122407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411560703 + 411560704.

It is an arithmetic number, because the mean of its divisors is an integer number (411560704).

Almost surely, 2^823121407 is an apocalyptic number.

823121407 is a deficient number, since it is larger than the sum of its proper divisors (1).

823121407 is an equidigital number, since it uses as much as digits as its factorization.

823121407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 823121407 is about 28690.0924885229. The cubic root of 823121407 is about 937.1763033473.

The spelling of 823121407 in words is "eight hundred twenty-three million, one hundred twenty-one thousand, four hundred seven".