35488 has 12 divisors (see below), whose sum is σ = 69930. Its totient is φ = 17728.

The previous prime is 35461. The next prime is 35491. The reversal of 35488 is 88453.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 144 = 188^2 + 12^2 .

It is a d-powerful number, because it can be written as 3⁷ + 5 + 4² + 8³ + 8⁵ .

It is an unprimeable number.

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, 523 + ... + 586.

2³⁵⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

35488 is a deficient number, since it is larger than the sum of its proper divisors (34442).

35488 is a wasteful number, since it uses less digits than its factorization.

35488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 35488 is about 188.3825894291. The cubic root of 35488 is about 32.8619886633.

The spelling of 35488 in words is "thirty-five thousand, four hundred eighty-eight".