381346507 has 2 divisors, whose sum is σ = 381346508. Its totient is φ = 381346506.

The previous prime is 381346477. The next prime is 381346523. The reversal of 381346507 is 705643183.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 381346507 - 2¹⁵ = 381313739 is a prime.

It is a super-2 number, since 2×381346507² = 290850316802202098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (381346597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190673253 + 190673254.

It is an arithmetic number, because the mean of its divisors is an integer number (190673254).

Almost surely, 2^381346507 is an apocalyptic number.

381346507 is a deficient number, since it is larger than the sum of its proper divisors (1).

381346507 is an equidigital number, since it uses as much as digits as its factorization.

381346507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 381346507 is about 19528.0953244294. The cubic root of 381346507 is about 725.1701587127.

The spelling of 381346507 in words is "three hundred eighty-one million, three hundred forty-six thousand, five hundred seven".