2153772 has 36 divisors (see below), whose sum is σ = 5634720. Its totient is φ = 692832.

The previous prime is 2153737. The next prime is 2153773. The reversal of 2153772 is 2773512.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (156520).

2^2153772 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 2153772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817360).

2153772 is an abundant number, since it is smaller than the sum of its proper divisors (3480948).

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

2153772 is a wasteful number, since it uses less digits than its factorization.

2153772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2097 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2153772 is about 1467.5735075287. The cubic root of 2153772 is about 129.1417227356.

It can be divided in two parts, 21537 and 72, that added together give a square (21609 = 147²).

The spelling of 2153772 in words is "two million, one hundred fifty-three thousand, seven hundred seventy-two".