281772 has 24 divisors (see below), whose sum is σ = 730800. Its totient is φ = 93888.

The previous prime is 281767. The next prime is 281777. The reversal of 281772 is 277182.

281772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (281767) and next prime (281777).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 281772.

It is not an unprimeable number, because it can be changed into a prime (281777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (30450).

2²⁸¹⁷⁷² is an apocalyptic number.

It is an amenable number.

281772 is an abundant number, since it is smaller than the sum of its proper divisors (449028).

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

281772 is a wasteful number, since it uses less digits than its factorization.

281772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2614 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 281772 is about 530.8220040654. The cubic root of 281772 is about 65.5590439375.

The spelling of 281772 in words is "two hundred eighty-one thousand, seven hundred seventy-two".