1627661117 has 8 divisors (see below), whose sum is σ = 1672330296. Its totient is φ = 1583027712.

The previous prime is 1627661099. The next prime is 1627661131. The reversal of 1627661117 is 7111667261.

It can be written as a sum of positive squares in 4 ways, for example, as 1226820676 + 400840441 = 35026^2 + 20021^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1627661117 - 2⁶ = 1627661053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1627661137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101813 + ... + 116709.

It is an arithmetic number, because the mean of its divisors is an integer number (209041287).

Almost surely, 2^1627661117 is an apocalyptic number.

It is an amenable number.

1627661117 is a deficient number, since it is larger than the sum of its proper divisors (44669179).

1627661117 is a wasteful number, since it uses less digits than its factorization.

1627661117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17887.

The product of its digits is 21168, while the sum is 38.

The square root of 1627661117 is about 40344.2823334360. The cubic root of 1627661117 is about 1176.3087555740.

The spelling of 1627661117 in words is "one billion, six hundred twenty-seven million, six hundred sixty-one thousand, one hundred seventeen".