84772 has 6 divisors (see below), whose sum is σ = 148358. Its totient is φ = 42384.

The previous prime is 84761. The next prime is 84787. The reversal of 84772 is 27748.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 34596 = 224^2 + 186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84772.

It is an unprimeable number.

84772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 10593 + ... + 10600.

2⁸⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

84772 is a deficient number, since it is larger than the sum of its proper divisors (63586).

84772 is a wasteful number, since it uses less digits than its factorization.

84772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21197 (or 21195 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 84772 is about 291.1563154046. The cubic root of 84772 is about 43.9289486888.

It can be divided in two parts, 847 and 72, that added together give a palindrome (919).

The spelling of 84772 in words is "eighty-four thousand, seven hundred seventy-two".