1917961164 has 144 divisors (see below), whose sum is σ = 5699645952. Its totient is φ = 532417536.

The previous prime is 1917961163. The next prime is 1917961219. The reversal of 1917961164 is 4611697191.

1917961164 is a `hidden beast` number, since 19 + 17 + 9 + 611 + 6 + 4 = 666.

It is a super-2 number, since 2×1917961164² = 7357150053224469792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1917961163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849532 + ... + 2850204.

Almost surely, 2^1917961164 is an apocalyptic number.

1917961164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1917961164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849822976).

1917961164 is an abundant number, since it is smaller than the sum of its proper divisors (3781684788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1917961164 is a wasteful number, since it uses less digits than its factorization.

1917961164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 991 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 1917961164 is about 43794.5334944899. The cubic root of 1917961164 is about 1242.4529064627.

The spelling of 1917961164 in words is "one billion, nine hundred seventeen million, nine hundred sixty-one thousand, one hundred sixty-four".