398007 has 8 divisors (see below), whose sum is σ = 589680. Its totient is φ = 265320.

The previous prime is 397981. The next prime is 398011. The reversal of 398007 is 700893.

It is a happy number.

It is not a de Polignac number, because 398007 - 2⁸ = 397751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14741 = 398007 / (3 + 9 + 8 + 0 + 0 + 7).

398007 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398007.

It is not an unprimeable number, because it can be changed into a prime (398077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7344 + ... + 7397.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2³⁹⁸⁰⁰⁷ is an apocalyptic number.

398007 is a deficient number, since it is larger than the sum of its proper divisors (191673).

398007 is a wasteful number, since it uses less digits than its factorization.

398007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14750 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 398007 is about 630.8779596721. The cubic root of 398007 is about 73.5580549238.

398007 divided by its sum of digits (27) gives a palindrome (14741).

Subtracting from 398007 its product of nonzero digits (1512), we obtain a triangular number (396495 = T₈₉₀).

The spelling of 398007 in words is "three hundred ninety-eight thousand, seven".