3962 has 8 divisors (see below), whose sum is σ = 6816. Its totient is φ = 1692.

The previous prime is 3947. The next prime is 3967. The reversal of 3962 is 2693.

It is a happy number.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (852).

2³⁹⁶² is an apocalyptic number.

3962 is a deficient number, since it is larger than the sum of its proper divisors (2854).

3962 is a wasteful number, since it uses less digits than its factorization.

3962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its digits is 324, while the sum is 20.

The square root of 3962 is about 62.9444199274. The cubic root of 3962 is about 15.8235827932.

It can be divided in two parts, 39 and 62, that added together give a palindrome (101).

The spelling of 3962 in words is "three thousand, nine hundred sixty-two".