390145 has 16 divisors (see below), whose sum is σ = 546048. Its totient is φ = 262080.

The previous prime is 390119. The next prime is 390151. The reversal of 390145 is 541093.

390145 = 193² + 194² + ... + 202².

It is not a de Polignac number, because 390145 - 2⁵ = 390113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407 + ... + 2563.

It is an arithmetic number, because the mean of its divisors is an integer number (34128).

It is a Proth number, since it is equal to 381 ⋅ 2¹⁰ + 1 and 381 < 2¹⁰.

2³⁹⁰¹⁴⁵ is an apocalyptic number.

390145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

390145 is a deficient number, since it is larger than the sum of its proper divisors (155903).

390145 is a wasteful number, since it uses less digits than its factorization.

390145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 390145 is about 624.6158819627. The cubic root of 390145 is about 73.0704892411.

It can be divided in two parts, 390 and 145, that added together give a palindrome (535).

The spelling of 390145 in words is "three hundred ninety thousand, one hundred forty-five".