1461161767 has 8 divisors (see below), whose sum is σ = 1574703200. Its totient is φ = 1347783840.

The previous prime is 1461161759. The next prime is 1461161773. The reversal of 1461161767 is 7671611641.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1461161767 - 2³ = 1461161759 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 (1461161267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21984 + ... + 58357.

It is an arithmetic number, because the mean of its divisors is an integer number (196837900).

Almost surely, 2^1461161767 is an apocalyptic number.

1461161767 is a deficient number, since it is larger than the sum of its proper divisors (113541433).

1461161767 is a wasteful number, since it uses less digits than its factorization.

1461161767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81753.

The product of its digits is 42336, while the sum is 40.

The square root of 1461161767 is about 38225.1457420374. The cubic root of 1461161767 is about 1134.7480191265.

The spelling of 1461161767 in words is "one billion, four hundred sixty-one million, one hundred sixty-one thousand, seven hundred sixty-seven".