350889 has 32 divisors (see below), whose sum is σ = 614400. Its totient is φ = 176400.

The previous prime is 350887. The next prime is 350891. The reversal of 350889 is 988053.

It is an interprime number because it is at equal distance from previous prime (350887) and next prime (350891).

It is not a de Polignac number, because 350889 - 2¹ = 350887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

350889 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (350881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11304 + ... + 11334.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2³⁵⁰⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

350889 is a deficient number, since it is larger than the sum of its proper divisors (263511).

350889 is a wasteful number, since it uses less digits than its factorization.

350889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 350889 is about 592.3588439451. The cubic root of 350889 is about 70.5326040029.

The spelling of 350889 in words is "three hundred fifty thousand, eight hundred eighty-nine".