1355712 has 56 divisors (see below), whose sum is σ = 3755136. Its totient is φ = 430848.

The previous prime is 1355693. The next prime is 1355713. The reversal of 1355712 is 2175531.

1355712 = T₁₇₃ + T₁₇₄ + ... + T₂₃₆.

1355712 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4263 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (67056).

2^1355712 is an apocalyptic number.

1355712 is a gapful number since it is divisible by the number (12) 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 1355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877568).

1355712 is an abundant number, since it is smaller than the sum of its proper divisors (2399424).

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

1355712 is a wasteful number, since it uses less digits than its factorization.

1355712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 1355712 is about 1164.3504627044. The cubic root of 1355712 is about 110.6766010985.

The spelling of 1355712 in words is "one million, three hundred fifty-five thousand, seven hundred twelve".