353007 has 12 divisors (see below), whose sum is σ = 519064. Its totient is φ = 231120.

The previous prime is 352991. The next prime is 353011. The reversal of 353007 is 700353.

It is not a de Polignac number, because 353007 - 2⁴ = 352991 is a prime.

It is a super-2 number, since 2×353007² = 249227884098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353007.

It is not an unprimeable number, because it can be changed into a prime (353047) 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, 228 + ... + 870.

2³⁵³⁰⁰⁷ is an apocalyptic number.

353007 is a deficient number, since it is larger than the sum of its proper divisors (166057).

353007 is a wasteful number, since it uses less digits than its factorization.

353007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 707 counting only the distinct ones).

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

The square root of 353007 is about 594.1439219583. The cubic root of 353007 is about 70.6742332984.

The spelling of 353007 in words is "three hundred fifty-three thousand, seven".