2145672 has 48 divisors (see below), whose sum is σ = 6156540. Its totient is φ = 672768.

The previous prime is 2145643. The next prime is 2145677. The reversal of 2145672 is 2765412.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 54756 = 1446^2 + 234^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2145677) 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, 348 + ... + 2100.

2^2145672 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 2145672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078270).

2145672 is an abundant number, since it is smaller than the sum of its proper divisors (4010868).

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

2145672 is a wasteful number, since it uses less digits than its factorization.

2145672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1775 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2145672 is about 1464.8112506395. The cubic root of 2145672 is about 128.9796254102.

It can be divided in two parts, 21456 and 72, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 2145672 in words is "two million, one hundred forty-five thousand, six hundred seventy-two".