147008 has 14 divisors (see below), whose sum is σ = 291846. Its totient is φ = 73472.

The previous prime is 146989. The next prime is 147011. The reversal of 147008 is 800741.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 23104 = 352^2 + 152^2 .

It is a super-2 number, since 2×147008² = 43222704128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1085 + ... + 1212.

2¹⁴⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

147008 is a deficient number, since it is larger than the sum of its proper divisors (144838).

147008 is an equidigital number, since it uses as much as digits as its factorization.

147008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 147008 is about 383.4162229223. The cubic root of 147008 is about 52.7772782552. Note that the first 3 decimals are identical.

Adding to 147008 its reverse (800741), we get a palindrome (947749).

The spelling of 147008 in words is "one hundred forty-seven thousand, eight".