19955 has 8 divisors (see below), whose sum is σ = 25872. Its totient is φ = 14688.

The previous prime is 19949. The next prime is 19961. The reversal of 19955 is 55991.

19955 = 33² + 34² + ... + 45².

19955 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (19949) and next prime (19961).

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 19955 - 2⁶ = 19891 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

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, 89 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

2¹⁹⁹⁵⁵ is an apocalyptic number.

19955 is a deficient number, since it is larger than the sum of its proper divisors (5917).

19955 is a wasteful number, since it uses less digits than its factorization.

19955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its digits is 2025, while the sum is 29.

The square root of 19955 is about 141.2621676175. The cubic root of 19955 is about 27.1238027461.

It can be divided in two parts, 19 and 955, that multiplied together give a triangular number (18145 = T₁₉₀).

The spelling of 19955 in words is "nineteen thousand, nine hundred fifty-five".