398307 has 16 divisors (see below), whose sum is σ = 654080. Its totient is φ = 209952.

The previous prime is 398303. The next prime is 398311. The reversal of 398307 is 703893.

398307 = T₂₉₃ + T₂₉₄ + ... + T₃₀₁.

398307 = 169² + 170² + ... + 181².

398307 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (398303) and next prime (398311).

It is not a de Polignac number, because 398307 - 2² = 398303 is a prime.

398307 is strictly pandigital in base 7.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398307.

It is not an unprimeable number, because it can be changed into a prime (398303) 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, 457 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

2³⁹⁸³⁰⁷ is an apocalyptic number.

398307 is a deficient number, since it is larger than the sum of its proper divisors (255773).

398307 is a wasteful number, since it uses less digits than its factorization.

398307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 398307 is about 631.1156787785. The cubic root of 398307 is about 73.5765318805.

The spelling of 398307 in words is "three hundred ninety-eight thousand, three hundred seven".