32996 has 12 divisors (see below), whose sum is σ = 59052. Its totient is φ = 16128.

The previous prime is 32993. The next prime is 32999. The reversal of 32996 is 69923.

It is an interprime number because it is at equal distance from previous prime (32993) and next prime (32999).

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 25600 = 86^2 + 160^2 .

32996 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (32993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (4921).

2³²⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

32996 is a deficient number, since it is larger than the sum of its proper divisors (26056).

32996 is a wasteful number, since it uses less digits than its factorization.

32996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

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

The square root of 32996 is about 181.6480112746. The cubic root of 32996 is about 32.0740472741.

The spelling of 32996 in words is "thirty-two thousand, nine hundred ninety-six".