1761166121 has 16 divisors (see below), whose sum is σ = 2072685888. Its totient is φ = 1475313600.

The previous prime is 1761166117. The next prime is 1761166157. The reversal of 1761166121 is 1216611671.

It is a cyclic number.

It is not a de Polignac number, because 1761166121 - 2² = 1761166117 is a prime.

It is a super-2 number, since 2×1761166121² = 6203412211516373282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1761166171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73451 + ... + 94431.

It is an arithmetic number, because the mean of its divisors is an integer number (129542868).

Almost surely, 2^1761166121 is an apocalyptic number.

1761166121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1761166121 is a deficient number, since it is larger than the sum of its proper divisors (311519767).

1761166121 is a wasteful number, since it uses less digits than its factorization.

1761166121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592.

The product of its digits is 3024, while the sum is 32.

The square root of 1761166121 is about 41966.2497847973. The cubic root of 1761166121 is about 1207.6287419654.

Adding to 1761166121 its reverse (1216611671), we get a palindrome (2977777792).

The spelling of 1761166121 in words is "one billion, seven hundred sixty-one million, one hundred sixty-six thousand, one hundred twenty-one".