35073 has 10 divisors (see below), whose sum is σ = 52514. Its totient is φ = 23328.

The previous prime is 35069. The next prime is 35081. The reversal of 35073 is 37053.

35073 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 11664 = 153^2 + 108^2 .

It is not a de Polignac number, because 35073 - 2² = 35069 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (35023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 136 + ... + 297.

It is a Proth number, since it is equal to 137 ⋅ 2⁸ + 1 and 137 < 2⁸.

2³⁵⁰⁷³ is an apocalyptic number.

It is an amenable number.

35073 is a deficient number, since it is larger than the sum of its proper divisors (17441).

35073 is an equidigital number, since it uses as much as digits as its factorization.

35073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 35073 is about 187.2778684202. The cubic root of 35073 is about 32.7333890084.

The spelling of 35073 in words is "thirty-five thousand, seventy-three".