2048767 has 6 divisors (see below), whose sum is σ = 2345784. Its totient is φ = 1752840.

The previous prime is 2048749. The next prime is 2048779. The reversal of 2048767 is 7678402.

It is not a de Polignac number, because 2048767 - 2⁷ = 2048639 is a prime.

2048767 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048797) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3517 + ... + 4057.

It is an arithmetic number, because the mean of its divisors is an integer number (390964).

2^2048767 is an apocalyptic number.

2048767 is a deficient number, since it is larger than the sum of its proper divisors (297017).

2048767 is an frugal number, since it uses more digits than its factorization.

2048767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2048767 is about 1431.3514592859. The cubic root of 2048767 is about 127.0079355200.

The spelling of 2048767 in words is "two million, forty-eight thousand, seven hundred sixty-seven".