197772 has 12 divisors (see below), whose sum is σ = 461496. Its totient is φ = 65920.

The previous prime is 197767. The next prime is 197773. The reversal of 197772 is 277791.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×197772² = 78227527968, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (197773) by changing a digit.

197772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8229 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (38458).

2¹⁹⁷⁷⁷² is an apocalyptic number.

197772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197772 is an abundant number, since it is smaller than the sum of its proper divisors (263724).

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

197772 is a wasteful number, since it uses less digits than its factorization.

197772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16488 (or 16486 counting only the distinct ones).

The product of its digits is 6174, while the sum is 33.

The square root of 197772 is about 444.7156394821. The cubic root of 197772 is about 58.2623863091.

It can be divided in two parts, 197 and 772, that added together give a palindrome (969).

The spelling of 197772 in words is "one hundred ninety-seven thousand, seven hundred seventy-two".