398853 has 24 divisors (see below), whose sum is σ = 710528. Its totient is φ = 209952.

The previous prime is 398833. The next prime is 398857. The reversal of 398853 is 358893.

398853 = T₁₆₂ + T₁₆₃ + ... + T₁₈₇.

It is not a de Polignac number, because 398853 - 2⁵ = 398821 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576 + ... + 1062.

2³⁹⁸⁸⁵³ is an apocalyptic number.

It is an amenable number.

398853 is a deficient number, since it is larger than the sum of its proper divisors (311675).

398853 is a wasteful number, since it uses less digits than its factorization.

398853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 510 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 398853 is about 631.5480979308. The cubic root of 398853 is about 73.6101361473.

The spelling of 398853 in words is "three hundred ninety-eight thousand, eight hundred fifty-three".