1013985 has 64 divisors (see below), whose sum is σ = 2188800. Its totient is φ = 435456.

The previous prime is 1013933. The next prime is 1013993. The reversal of 1013985 is 5893101.

1013985 = T₂₂₃ + T₂₂₄ + ... + T₂₅₇.

It is not a de Polignac number, because 1013985 - 2⁶ = 1013921 is a prime.

It is a super-3 number, since 3×1013985³ = 3127633427593339875, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27387 + ... + 27423.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2^1013985 is an apocalyptic number.

1013985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013985 is an abundant number, since it is smaller than the sum of its proper divisors (1174815).

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

1013985 is a wasteful number, since it uses less digits than its factorization.

1013985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1013985 is about 1006.9682219415. The cubic root of 1013985 is about 100.4640102811.

The spelling of 1013985 in words is "one million, thirteen thousand, nine hundred eighty-five".