1772 has 6 divisors (see below), whose sum is σ = 3108. Its totient is φ = 884.

The previous prime is 1759. The next prime is 1777. The reversal of 1772 is 2771.

It is a happy number.

1772 is nontrivially palindromic in base 5.

It is a magnanimous number.

It is a plaindrome in base 9.

It is a nialpdrome in base 7 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1772.

It is not an unprimeable number, because it can be changed into a prime (1777) 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 as a sum of consecutive naturals, namely, 218 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (518).

2¹⁷⁷² is an apocalyptic number.

1772 is the 23-rd centered heptagonal number.

It is an amenable number.

1772 is a deficient number, since it is larger than the sum of its proper divisors (1336).

1772 is a wasteful number, since it uses less digits than its factorization.

1772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its digits is 98, while the sum is 17.

The square root of 1772 is about 42.0951303597. The cubic root of 1772 is about 12.1009993938.

Subtracting 1772 from its reverse (2771), we obtain a palindrome (999).

The spelling of 1772 in words is "one thousand, seven hundred seventy-two", and thus it is an iban number.