1355004 has 72 divisors (see below), whose sum is σ = 4135040. Its totient is φ = 365472.

The previous prime is 1354987. The next prime is 1355021. The reversal of 1355004 is 4005531.

1355004 = T₂₉₇ + T₂₉₈ + ... + T₃₂₄.

It is an interprime number because it is at equal distance from previous prime (1354987) and next prime (1355021).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4647 + ... + 4929.

2^1355004 is an apocalyptic number.

1355004 is a gapful number since it is divisible by the number (14) 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 1355004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067520).

1355004 is an abundant number, since it is smaller than the sum of its proper divisors (2780036).

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

1355004 is a wasteful number, since it uses less digits than its factorization.

1355004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1355004 is about 1164.0463908281. The cubic root of 1355004 is about 110.6573313523.

The spelling of 1355004 in words is "one million, three hundred fifty-five thousand, four".