388962 has 50 divisors (see below), whose sum is σ = 1016763. Its totient is φ = 111132.

The previous prime is 388961. The next prime is 388963. The reversal of 388962 is 269883.

It is an interprime number because it is at equal distance from previous prime (388961) and next prime (388963).

It can be written as a sum of positive squares in only one way, i.e., 194481 + 194481 = 441^2 + 441^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=441.

Its product of digits (20736) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (388961) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 55563 + ... + 55569.

388962 is a Friedman number, since it can be written as (98*6*3)^2/8, using all its digits and the basic arithmetic operations.

2^{388962} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388962

388962 is an abundant number, since it is smaller than the sum of its proper divisors (627801).

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

388962 is an frugal number, since it uses more digits than its factorization.

388962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 388962 is about 623.6681810065. The cubic root of 388962 is about 72.9965595426.

The spelling of 388962 in words is "three hundred eighty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2401 2646 3087 3969 4802 6174 7203 7938 9261 14406 18522 21609 27783 43218 55566 64827 129654 194481 388962

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