39354 has 16 divisors (see below), whose sum is σ = 90048. Its totient is φ = 11232.

The previous prime is 39343. The next prime is 39359. The reversal of 39354 is 45393.

It is a d-powerful number, because it can be written as 3⁴ + 9² + 3⁹ + 5⁵ + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (39359) 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, 427 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (5628).

2³⁹³⁵⁴ is an apocalyptic number.

39354 is an abundant number, since it is smaller than the sum of its proper divisors (50694).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45024).

39354 is a wasteful number, since it uses less digits than its factorization.

39354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its digits is 1620, while the sum is 24.

The square root of 39354 is about 198.3784262464. The cubic root of 39354 is about 34.0144114224.

It can be divided in two parts, 39 and 354, that added together give a palindrome (393).

The spelling of 39354 in words is "thirty-nine thousand, three hundred fifty-four".