2457873 has 36 divisors (see below), whose sum is σ = 4073524. Its totient is φ = 1425600.

The previous prime is 2457869. The next prime is 2457893. The reversal of 2457873 is 3787542.

2457873 = 77² + 78² + ... + 198².

It can be written as a sum of positive squares in 2 ways, for example, as 1046529 + 1411344 = 1023^2 + 1188^2 .

It is not a de Polignac number, because 2457873 - 2² = 2457869 is a prime.

It is a super-2 number, since 2×2457873² = 12082279368258, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (47040) is a multiple of the sum of its prime divisors (112).

2457873 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40263 + ... + 40323.

2^2457873 is an apocalyptic number.

It is an amenable number.

2457873 is a deficient number, since it is larger than the sum of its proper divisors (1615651).

2457873 is a wasteful number, since it uses less digits than its factorization.

2457873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 2457873 is about 1567.7605046690. The cubic root of 2457873 is about 134.9542231625.

It can be divided in two parts, 245 and 7873, that added together give a palindrome (8118).

The spelling of 2457873 in words is "two million, four hundred fifty-seven thousand, eight hundred seventy-three".