39962 has 16 divisors (see below), whose sum is σ = 68040. Its totient is φ = 17472.

The previous prime is 39953. The next prime is 39971. The reversal of 39962 is 26993.

39962 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (39953) and next prime (39971).

It can be written as a sum of positive squares in 4 ways, for example, as 32041 + 7921 = 179^2 + 89^2 .

It is a super-2 number, since 2×39962² = 3193922888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39962.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 728 + ... + 780.

2³⁹⁹⁶² is an apocalyptic number.

39962 is a deficient number, since it is larger than the sum of its proper divisors (28078).

39962 is a wasteful number, since it uses less digits than its factorization.

39962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its digits is 2916, while the sum is 29.

The square root of 39962 is about 199.9049774268. The cubic root of 39962 is about 34.1886856546.

39962 divided by its sum of digits (29) gives a triangular number (1378 = T₅₂).

It can be divided in two parts, 39 and 962, that added together give a palindrome (1001).

The spelling of 39962 in words is "thirty-nine thousand, nine hundred sixty-two".