19745 has 8 divisors (see below), whose sum is σ = 25920. Its totient is φ = 14320.

The previous prime is 19739. The next prime is 19751. The reversal of 19745 is 54791.

It is an interprime number because it is at equal distance from previous prime (19739) and next prime (19751).

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

It is not a de Polignac number, because 19745 - 2⁶ = 19681 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2¹⁹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

19745 is a deficient number, since it is larger than the sum of its proper divisors (6175).

19745 is a wasteful number, since it uses less digits than its factorization.

19745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its digits is 1260, while the sum is 26.

The square root of 19745 is about 140.5169028978. The cubic root of 19745 is about 27.0283196229.

It can be divided in two parts, 1974 and 5, that multiplied together give a triangular number (9870 = T₁₄₀).

The spelling of 19745 in words is "nineteen thousand, seven hundred forty-five".