1357104 has 60 divisors (see below), whose sum is σ = 4085304. Its totient is φ = 387072.

The previous prime is 1357091. The next prime is 1357129. The reversal of 1357104 is 4017531.

1357104 = T₁₁₅ + T₁₁₆ + ... + T₂₁₂.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064 + ... + 2640.

2^1357104 is an apocalyptic number.

1357104 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 1357104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042652).

1357104 is an abundant number, since it is smaller than the sum of its proper divisors (2728200).

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

1357104 is a wasteful number, since it uses less digits than its factorization.

1357104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1357104 is about 1164.9480675120. The cubic root of 1357104 is about 110.7144678259.

The spelling of 1357104 in words is "one million, three hundred fifty-seven thousand, one hundred four".