388367 has 8 divisors (see below), whose sum is σ = 448800. Its totient is φ = 329184.

The previous prime is 388363. The next prime is 388369. The reversal of 388367 is 763883.

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 388367 - 2² = 388363 is a prime.

It is a super-3 number, since 3×388367³ = 175730933314280589, which contains 333 as substring.

It is a Duffinian number.

388367 is a Rhonda number in base 6.

It is a plaindrome in base 12.

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 388367.

It is not an unprimeable number, because it can be changed into a prime (388363) 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, 509 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (56100).

2³⁸⁸³⁶⁷ is an apocalyptic number.

388367 is the 509-th pentagonal number.

388367 is a deficient number, since it is larger than the sum of its proper divisors (60433).

388367 is a wasteful number, since it uses less digits than its factorization.

388367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625.

The product of its digits is 24192, while the sum is 35.

The square root of 388367 is about 623.1909819630. The cubic root of 388367 is about 72.9593192994.

The spelling of 388367 in words is "three hundred eighty-eight thousand, three hundred sixty-seven".