398265 has 16 divisors (see below), whose sum is σ = 728448. Its totient is φ = 182016.

The previous prime is 398261. The next prime is 398267. The reversal of 398265 is 562893.

It is a happy number.

It is not a de Polignac number, because 398265 - 2² = 398261 is a prime.

It is a Curzon number.

398265 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (398261) 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, 1792 + ... + 2001.

It is an arithmetic number, because the mean of its divisors is an integer number (45528).

2³⁹⁸²⁶⁵ is an apocalyptic number.

398265 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398265 is a deficient number, since it is larger than the sum of its proper divisors (330183).

398265 is a wasteful number, since it uses less digits than its factorization.

398265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808.

The product of its digits is 12960, while the sum is 33.

The square root of 398265 is about 631.0824034942. The cubic root of 398265 is about 73.5739456652.

The spelling of 398265 in words is "three hundred ninety-eight thousand, two hundred sixty-five".