1461198329 has 2 divisors, whose sum is σ = 1461198330. Its totient is φ = 1461198328.

The previous prime is 1461198293. The next prime is 1461198337. The reversal of 1461198329 is 9238911641.

Together with previous prime (1461198293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1456567225 + 4631104 = 38165^2 + 2152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1461198329 - 2²⁸ = 1192762873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1461198329.

It is not a weakly prime, because it can be changed into another prime (1461198359) 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, 730599164 + 730599165.

It is an arithmetic number, because the mean of its divisors is an integer number (730599165).

Almost surely, 2^1461198329 is an apocalyptic number.

It is an amenable number.

1461198329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461198329 is an equidigital number, since it uses as much as digits as its factorization.

1461198329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 44.

The square root of 1461198329 is about 38225.6239844427. The cubic root of 1461198329 is about 1134.7574838123.

The spelling of 1461198329 in words is "one billion, four hundred sixty-one million, one hundred ninety-eight thousand, three hundred twenty-nine".