1085472 has 36 divisors (see below), whose sum is σ = 3087630. Its totient is φ = 361728.

The previous prime is 1085459. The next prime is 1085473. The reversal of 1085472 is 2745801.

It can be written as a sum of positive squares in only one way, i.e., 767376 + 318096 = 876^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1085473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597 + ... + 2172.

2^1085472 is an apocalyptic number.

1085472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1085472 is an abundant number, since it is smaller than the sum of its proper divisors (2002158).

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

1085472 is a wasteful number, since it uses less digits than its factorization.

1085472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1085472 is about 1041.8598754151. The cubic root of 1085472 is about 102.7715425376.

The spelling of 1085472 in words is "one million, eighty-five thousand, four hundred seventy-two".