398971 has 8 divisors (see below), whose sum is σ = 421344. Its totient is φ = 377280.

The previous prime is 398969. The next prime is 398977. The reversal of 398971 is 179893.

398971 = T₂₃ + T₂₄ + ... + T₁₃₃.

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 398971 - 2¹ = 398969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 398971.

It is not an unprimeable number, because it can be changed into a prime (398977) 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, 1386 + ... + 1648.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2³⁹⁸⁹⁷¹ is an apocalyptic number.

398971 is a deficient number, since it is larger than the sum of its proper divisors (22373).

398971 is a wasteful number, since it uses less digits than its factorization.

398971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 13608, while the sum is 37.

The square root of 398971 is about 631.6415122520. The cubic root of 398971 is about 73.6173945772.

It can be divided in two parts, 398 and 971, that added together give a square (1369 = 37²).

The spelling of 398971 in words is "three hundred ninety-eight thousand, nine hundred seventy-one".