807904381 has 2 divisors, whose sum is σ = 807904382. Its totient is φ = 807904380.

The previous prime is 807904351. The next prime is 807904397. The reversal of 807904381 is 183409708.

807904381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 613552900 + 194351481 = 24770^2 + 13941^2 .

It is a cyclic number.

It is not a de Polignac number, because 807904381 - 2¹³ = 807896189 is a prime.

It is a super-2 number, since 2×807904381² = 1305418977677986322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (807904351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403952190 + 403952191.

It is an arithmetic number, because the mean of its divisors is an integer number (403952191).

Almost surely, 2^807904381 is an apocalyptic number.

It is an amenable number.

807904381 is a deficient number, since it is larger than the sum of its proper divisors (1).

807904381 is an equidigital number, since it uses as much as digits as its factorization.

807904381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 807904381 is about 28423.6588250000. The cubic root of 807904381 is about 931.3651593034.

The spelling of 807904381 in words is "eight hundred seven million, nine hundred four thousand, three hundred eighty-one".