398106765 has 64 divisors (see below), whose sum is σ = 856465920. Its totient is φ = 171279360.

The previous prime is 398106763. The next prime is 398106767. The reversal of 398106765 is 567601893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (398106763) and next prime (398106767).

It is not a de Polignac number, because 398106765 - 2¹ = 398106763 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 398106765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398106763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3675 + ... + 28455.

It is an arithmetic number, because the mean of its divisors is an integer number (13382280).

Almost surely, 2^398106765 is an apocalyptic number.

398106765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398106765 is an abundant number, since it is smaller than the sum of its proper divisors (458359155).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398106765 is a wasteful number, since it uses less digits than its factorization.

398106765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819 (or 24813 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 398106765 is about 19952.6129867744. The cubic root of 398106765 is about 735.6420046589.

The spelling of 398106765 in words is "three hundred ninety-eight million, one hundred six thousand, seven hundred sixty-five".