3955 has 8 divisors (see below), whose sum is σ = 5472. Its totient is φ = 2688.

The previous prime is 3947. The next prime is 3967. The reversal of 3955 is 5593.

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

It is not a de Polignac number, because 3955 - 2³ = 3947 is a prime.

It is a Duffinian number.

3955 is a lucky number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

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, 22 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

2³⁹⁵⁵ is an apocalyptic number.

3955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3955 is a deficient number, since it is larger than the sum of its proper divisors (1517).

3955 is a wasteful number, since it uses less digits than its factorization.

3955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 675, while the sum is 22.

The square root of 3955 is about 62.8887907341. Note that the first 3 decimals coincide. The cubic root of 3955 is about 15.8142583462.

It can be divided in two parts, 395 and 5, that added together give a square (400 = 20²).

The spelling of 3955 in words is "three thousand, nine hundred fifty-five".