1611117961 has 16 divisors (see below), whose sum is σ = 1709942400. Its totient is φ = 1514896768.

The previous prime is 1611117943. The next prime is 1611117983. The reversal of 1611117961 is 1697111161.

It is a happy number.

It is not a de Polignac number, because 1611117961 - 2⁵ = 1611117929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1611147961) 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, 364215 + ... + 368611.

It is an arithmetic number, because the mean of its divisors is an integer number (106871400).

Almost surely, 2^1611117961 is an apocalyptic number.

It is an amenable number.

1611117961 is a deficient number, since it is larger than the sum of its proper divisors (98824439).

1611117961 is a wasteful number, since it uses less digits than its factorization.

1611117961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688.

The product of its digits is 2268, while the sum is 34.

The square root of 1611117961 is about 40138.7339237301. The cubic root of 1611117961 is about 1172.3099374141.

The spelling of 1611117961 in words is "one billion, six hundred eleven million, one hundred seventeen thousand, nine hundred sixty-one".