16775 has 12 divisors (see below), whose sum is σ = 23064. Its totient is φ = 12000.

The previous prime is 16763. The next prime is 16787. The reversal of 16775 is 57761.

It is an interprime number because it is at equal distance from previous prime (16763) and next prime (16787).

It is not a de Polignac number, because 16775 - 2⁴ = 16759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (1922).

2¹⁶⁷⁷⁵ is an apocalyptic number.

16775 is a deficient number, since it is larger than the sum of its proper divisors (6289).

16775 is a wasteful number, since it uses less digits than its factorization.

16775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its digits is 1470, while the sum is 26.

The square root of 16775 is about 129.5183384699. The cubic root of 16775 is about 25.5988728345.

It can be divided in two parts, 1677 and 5, that multiplied together give a triangular number (8385 = T₁₂₉).

The spelling of 16775 in words is "sixteen thousand, seven hundred seventy-five".