350073 has 12 divisors (see below), whose sum is σ = 512148. Its totient is φ = 230400.

The previous prime is 350039. The next prime is 350087. The reversal of 350073 is 370053.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 71289 = 528^2 + 267^2 .

It is not a de Polignac number, because 350073 - 2¹⁷ = 219001 is a prime.

It is a super-2 number, since 2×350073² = 245102210658, which contains 22 as substring.

It is an Ulam number.

350073 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (350003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (42679).

2³⁵⁰⁰⁷³ is an apocalyptic number.

It is an amenable number.

350073 is a deficient number, since it is larger than the sum of its proper divisors (162075).

350073 is a wasteful number, since it uses less digits than its factorization.

350073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

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

The square root of 350073 is about 591.6696713539. The cubic root of 350073 is about 70.4778865306.

The spelling of 350073 in words is "three hundred fifty thousand, seventy-three".