1749516165 has 56 divisors (see below), whose sum is σ = 3183646680. Its totient is φ = 922420224.

The previous prime is 1749516161. The next prime is 1749516169. The reversal of 1749516165 is 5616159471.

1749516165 is a `hidden beast` number, since 1 + 74 + 9 + 516 + 1 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (1749516161) and next prime (1749516169).

It can be written as a sum of positive squares in 4 ways, for example, as 316590849 + 1432925316 = 17793^2 + 37854^2 .

It is not a de Polignac number, because 1749516165 - 2² = 1749516161 is a prime.

It is a super-3 number, since 3×1749516165³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1749516165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1749516161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 321709 + ... + 327101.

Almost surely, 2^1749516165 is an apocalyptic number.

1749516165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1749516165 is a deficient number, since it is larger than the sum of its proper divisors (1434130515).

1749516165 is an frugal number, since it uses more digits than its factorization.

1749516165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5490 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 1749516165 is about 41827.2179925942. The cubic root of 1749516165 is about 1204.9600636432.

The spelling of 1749516165 in words is "one billion, seven hundred forty-nine million, five hundred sixteen thousand, one hundred sixty-five".