1101772 has 36 divisors (see below), whose sum is σ = 2346960. Its totient is φ = 443232.

The previous prime is 1101767. The next prime is 1101773. The reversal of 1101772 is 2771011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1101773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10054 + ... + 10162.

2^1101772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173480).

1101772 is an abundant number, since it is smaller than the sum of its proper divisors (1245188).

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

1101772 is a wasteful number, since it uses less digits than its factorization.

1101772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 1101772 is about 1049.6532760869. The cubic root of 1101772 is about 103.2834121219.

Adding to 1101772 its product of nonzero digits (98), we get a triangular number (1101870 = T₁₄₈₄).

Adding to 1101772 its reverse (2771011), we get a palindrome (3872783).

The spelling of 1101772 in words is "one million, one hundred one thousand, seven hundred seventy-two".