32997 has 8 divisors (see below), whose sum is σ = 46656. Its totient is φ = 20672.

The previous prime is 32993. The next prime is 32999. The reversal of 32997 is 79923.

32997 = 34² + 35² + ... + 51².

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

It is not a de Polignac number, because 32997 - 2² = 32993 is a prime.

32997 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2³²⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

32997 is a deficient number, since it is larger than the sum of its proper divisors (13659).

32997 is a wasteful number, since it uses less digits than its factorization.

32997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667.

The product of its digits is 3402, while the sum is 30.

The square root of 32997 is about 181.6507638299. The cubic root of 32997 is about 32.0743712904.

It can be divided in two parts, 329 and 97, that multiplied together give a palindrome (31913).

The spelling of 32997 in words is "thirty-two thousand, nine hundred ninety-seven".