1461233961 has 12 divisors (see below), whose sum is σ = 2302550640. Its totient is φ = 885596280.

The previous prime is 1461233959. The next prime is 1461234013. The reversal of 1461233961 is 1693321641.

1461233961 is a `hidden beast` number, since 1 + 4 + 612 + 3 + 39 + 6 + 1 = 666.

It is not a de Polignac number, because 1461233961 - 2¹ = 1461233959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1461233941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7379871 + ... + 7380068.

It is an arithmetic number, because the mean of its divisors is an integer number (191879220).

Almost surely, 2^1461233961 is an apocalyptic number.

1461233961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1461233961 is a deficient number, since it is larger than the sum of its proper divisors (841316679).

1461233961 is a wasteful number, since it uses less digits than its factorization.

1461233961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759956 (or 14759953 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1461233961 is about 38226.0900564000. The cubic root of 1461233961 is about 1134.7667076001.

The spelling of 1461233961 in words is "one billion, four hundred sixty-one million, two hundred thirty-three thousand, nine hundred sixty-one".