398827 has 8 divisors (see below), whose sum is σ = 468720. Its totient is φ = 334560.

The previous prime is 398821. The next prime is 398833. The reversal of 398827 is 728893.

It is an interprime number because it is at equal distance from previous prime (398821) and next prime (398833).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 398827 - 2³ = 398819 is a prime.

It is a Duffinian number.

398827 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (398821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2³⁹⁸⁸²⁷ is an apocalyptic number.

398827 is a deficient number, since it is larger than the sum of its proper divisors (69893).

398827 is a wasteful number, since it uses less digits than its factorization.

398827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813.

The product of its digits is 24192, while the sum is 37.

The square root of 398827 is about 631.5275132565. The cubic root of 398827 is about 73.6085366398.

It can be divided in two parts, 398 and 827, that added together give a triangular number (1225 = T₄₉).

The spelling of 398827 in words is "three hundred ninety-eight thousand, eight hundred twenty-seven".