1745536 has 32 divisors (see below), whose sum is σ = 3748500. Its totient is φ = 804864.

The previous prime is 1745519. The next prime is 1745537. The reversal of 1745536 is 6355471.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 3136 = 1320^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1745498 and 1745507.

It is not an unprimeable number, because it can be changed into a prime (1745537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1140 + ... + 2188.

2^1745536 is an apocalyptic number.

1745536 is a gapful number since it is divisible by the number (16) 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 1745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874250).

1745536 is an abundant number, since it is smaller than the sum of its proper divisors (2002964).

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

1745536 is a wasteful number, since it uses less digits than its factorization.

1745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1064 counting only the distinct ones).

The product of its digits is 12600, while the sum is 31.

The square root of 1745536 is about 1321.1873447774. The cubic root of 1745536 is about 120.4045604833.

The spelling of 1745536 in words is "one million, seven hundred forty-five thousand, five hundred thirty-six".