35408 has 10 divisors (see below), whose sum is σ = 68634. Its totient is φ = 17696.

The previous prime is 35407. The next prime is 35419. The reversal of 35408 is 80453.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 64 = 188^2 + 8^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 35408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35401) 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 as a sum of consecutive naturals, namely, 1091 + ... + 1122.

2³⁵⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

35408 is a deficient number, since it is larger than the sum of its proper divisors (33226).

35408 is a wasteful number, since it uses less digits than its factorization.

35408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 35408 is about 188.1701357814. The cubic root of 35408 is about 32.8372766757.

The spelling of 35408 in words is "thirty-five thousand, four hundred eight".