1461143167 has 16 divisors (see below), whose sum is σ = 1626244128. Its totient is φ = 1301489280.

The previous prime is 1461143153. The next prime is 1461143179. The reversal of 1461143167 is 7613411641.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1461143167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461143137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636073 + ... + 638365.

It is an arithmetic number, because the mean of its divisors is an integer number (101640258).

Almost surely, 2^1461143167 is an apocalyptic number.

1461143167 is a deficient number, since it is larger than the sum of its proper divisors (165100961).

1461143167 is a wasteful number, since it uses less digits than its factorization.

1461143167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450.

The product of its digits is 12096, while the sum is 34.

The square root of 1461143167 is about 38224.9024459187. The cubic root of 1461143167 is about 1134.7432041445.

The spelling of 1461143167 in words is "one billion, four hundred sixty-one million, one hundred forty-three thousand, one hundred sixty-seven".