2627641 has 3 divisors (see below), whose sum is σ = 2629263. Its totient is φ = 2626020.

The previous prime is 2627627. The next prime is 2627657. The reversal of 2627641 is 1467262.

The square root of 2627641 is 1621.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2019241 + 608400 = 1421^2 + 780^2 .

It is not a de Polignac number, because 2627641 - 2¹⁵ = 2594873 is a prime.

It is a Duffinian number.

2627641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2627671) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 811 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (876421).

2^2627641 is an apocalyptic number.

2627641 is the 1621-st square number.

2627641 is the 811-st centered octagonal number.

It is an amenable number.

2627641 is a deficient number, since it is larger than the sum of its proper divisors (1622).

2627641 is an frugal number, since it uses more digits than its factorization.

2627641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 1621 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The cubic root of 2627641 is about 137.9924556542.

The spelling of 2627641 in words is "two million, six hundred twenty-seven thousand, six hundred forty-one".