1385100 has 126 divisors (see below), whose sum is σ = 4743620. Its totient is φ = 349920.

The previous prime is 1385099. The next prime is 1385101. The reversal of 1385100 is 15831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1385099) and next prime (1385101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1385101) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72891 + ... + 72909.

2^1385100 is an apocalyptic number.

1385100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371810).

1385100 is an abundant number, since it is smaller than the sum of its proper divisors (3358520).

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

1385100 is a wasteful number, since it uses less digits than its factorization.

1385100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1385100 is about 1176.9027147560. The cubic root of 1385100 is about 111.4706096667.

It can be divided in two parts, 1385 and 100, that added together give a triangular number (1485 = T₅₄).

The spelling of 1385100 in words is "one million, three hundred eighty-five thousand, one hundred".