353090 has 32 divisors (see below), whose sum is σ = 705024. Its totient is φ = 126720.

The previous prime is 353081. The next prime is 353099. The reversal of 353090 is 90353.

353090 = T₆₆ + T₆₇ + ... + T₁₃₃.

353090 = 166² + 167² + ... + 177².

It is an interprime number because it is at equal distance from previous prime (353081) and next prime (353099).

It is not an unprimeable number, because it can be changed into a prime (353099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5237 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (22032).

2³⁵³⁰⁹⁰ is an apocalyptic number.

353090 is a deficient number, since it is larger than the sum of its proper divisors (351934).

353090 is a wasteful number, since it uses less digits than its factorization.

353090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 353090 is about 594.2137662492. The cubic root of 353090 is about 70.6797719059.

It can be divided in two parts, 35 and 3090, that added together give a 5-th power (3125 = 5⁵).

The spelling of 353090 in words is "three hundred fifty-three thousand, ninety".