1223961761 has 16 divisors (see below), whose sum is σ = 1371617280. Its totient is φ = 1082573520.

The previous prime is 1223961737. The next prime is 1223961769. The reversal of 1223961761 is 1671693221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1223961761 is a prime.

It is a super-2 number, since 2×1223961761² = 2996164784780442242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1223961769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119480 + ... + 129318.

It is an arithmetic number, because the mean of its divisors is an integer number (85726080).

Almost surely, 2^1223961761 is an apocalyptic number.

1223961761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1223961761 is a deficient number, since it is larger than the sum of its proper divisors (147655519).

1223961761 is a wasteful number, since it uses less digits than its factorization.

1223961761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156.

The product of its digits is 27216, while the sum is 38.

The square root of 1223961761 is about 34985.1648702704. The cubic root of 1223961761 is about 1069.6851086670.

The spelling of 1223961761 in words is "one billion, two hundred twenty-three million, nine hundred sixty-one thousand, seven hundred sixty-one".