32396 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 12672.

The previous prime is 32381. The next prime is 32401. The reversal of 32396 is 69323.

32396 = T₆₄ + T₆₅ + ... + T₇₆.

32396 = 65² + 66² + ... + 71².

It is a happy number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32396.

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, 320 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2³²³⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

32396 is an abundant number, since it is smaller than the sum of its proper divisors (38164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32396 is a wasteful number, since it uses less digits than its factorization.

32396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its digits is 972, while the sum is 23.

The square root of 32396 is about 179.9888885459. The cubic root of 32396 is about 31.8784450973.

The spelling of 32396 in words is "thirty-two thousand, three hundred ninety-six".