35010 has 24 divisors (see below), whose sum is σ = 91260. Its totient is φ = 9312.

The previous prime is 34981. The next prime is 35023. The reversal of 35010 is 1053.

35010 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 1521 = 183^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 34983 and 35001.

It is an unprimeable number.

35010 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 284.

2³⁵⁰¹⁰ is an apocalyptic number.

35010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35010 is an abundant number, since it is smaller than the sum of its proper divisors (56250).

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 (45630).

35010 is a wasteful number, since it uses less digits than its factorization.

35010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 35010 is about 187.1095935542. The cubic root of 35010 is about 32.7137781065.

Adding to 35010 its reverse (1053), we get a palindrome (36063).

The spelling of 35010 in words is "thirty-five thousand, ten".